Literature
This is a very rough attempt at classifying my somewhat extensive bibliography per theme/topic. It goes without saying that this cannot be extensive and that since I started computational geodynamics myself around 2006. The provided lists are biaised towards the last 2 decades or so. In retrospect, the categories I have chosen could have been subdivided into narrower fields. I understand that having 100+ references for ’subduction’ or ’mantle convection’ is not particularly useful, but it means that all these papers show up in the bibliography section of this book, and the titles of said papers are then searchable per keyword.
Subduction
Timothy A Cross and Rex H Pilger Jr. “Controls of subduction geometry, location of magmatic arcs, and tectonics of arc and back-arc regions”. In: Geological Society of America Bulletin 93.6 (1982), pp. 545–562
Chris Kincaid. “Subduction dynamics: From the trench to the core-mantle boundary”. In: Reviews of Geophysics 33.S1 (1995), pp. 401–412
Y. Fukao, S. Widiyantoro, and M. Obayashi. “Stagnant slabs in the upper and lower mantle transition region”. In: Reviews of Geophysics 39 (2001), pp. 291–323. doi: 10. 1029/1999RG000068
T. W. Becker and C. Faccenna. “Subduction Zone Geodynamics”. In: 2009. Chap. A Review of the Role of Subduction Dynamics for Regional and Global Plate Motions, pp. 3–34. doi: 10.1007/978-3-540-87974-9_1
R.J. Stern. “Subduction zones”. In: Reviews of Geophysics 40.4 (2002). doi: 10.1029/ 2001RG000108
Modeling the subduction dynamics [277]
Exhumation of oceanic blueschists and eclogites in subduction zones [11]
A review of the role of subduction dynamics for regional and global plate motions [179]
Stagnant Slab: A Review [1104]
Slab dynamics in the transition zone [269]
Future directions in subduction modeling [1169]
Introduction to the special issue on “Subduction Zones” of Solid Earth [415]
Rheological and geodynamic controls on the mechanisms of subduction and HP/UHP exhumation of crustal rocks during continental collision [459, 452]
Continental versus oceanic subduction zones [3884]
Subduction-transition zone interaction: A review [1238]
Slab breakoff: A critical appraisal of a geological theory as applied in space and time [1139]
Subduction initiation in nature and models [3313]
Subduction initiation from the earliest stages to self-sustained subduction [1945]
When plateau meets subduction zone: A review of numerical models [2122]
Numerical modeling of subduction: State of the art and future direction [1186]
The diversity of subduction zones [559]
Subduction initiation triggered by collision [3785]
review of the thermal structure of subduction zones [1799, 3733]
Orogeny:
Mantle convection
Convection in the earth’s mantle: towards a numerical simulation [2290]
Geophysical and geochemical observations in the mantle [817]
The scales of mantle convection [46]
Numerical and laboratory studies of mantle convection [3379]
Mantle convection: a review [2561]
Dynamics and evolution of the deep mantle [3354]
Crustal evolution and mantle dynamics through Earth history [1916]
Mantle Convection in Terrestrial Planets [2445]
Mantle & plates:
The generation of plate tectonics from mantle convection [234]
Supercontinent-superplume coupling, true polar wander and plume mobility [2068]
Mantle convection models featuring plate tectonic behavior [2146]
Interior dynamics and long term evolution of habitable planets [3372]
Mantle dynamics in the Mediterranean [1001]
Rapid Plate Motion Variations Through Geological Time [1615]
A mantle convection perspective on global tectonics [672]
Plate tectonics and/or Wilson cycle
The Supercontinent Cycle [2494]
Plate Tectonics, the Wilson Cycle, LLSVPs and Mantle Plumes [446]
Review of Wilson Cycle plate margins [420]
The supercontinent cycle [2493]
The diversity of tectonic modes and thoughts about transitions between them [1997]
Mantle plumes and mantle dynamics in the Wilson cycle [1470]
Fifty years of the Wilson Cycle concept in plate tectonics [3736]
Supercontinents: myths, mysteries, and milestones [2607]
Tectonic evolution of convergent plate margins [3885]
Deconstructing plate tectonic reconstructions [3125]
Plate tectonics in the twenty-first century [3883]
A tectonic manifesto [3311]
Mantle structure
Temperature distribution in crust and mantle [1699]
Heterogeneity of the lowermost mantle [1138]
5 page review of Earth’s mantle structure [1457]
Mantle mixing: the generation, preservation, and destruction of chemical heterogeneities [1793]
Whole-mantle convection and the transition-zone water filter [235]
Thermo-chemical structure of the lower mantle [859]
Geophysics of Chemical Heterogeneity in the Mantle [3323]
Caveats on tomographic images [1063]
Thermally Dominated Deep Mantle LLSVPs: A Review [810]
What lies beneath? thoughts on the lower mantle. [1469]
Plumes
Computational geodynamics
Quantification of uncertainty in computational fluid dynamics [2905]
Modelling plate tectonics and convection in the mantle [2405]
Overview of numerical methods for Earth simulations [2407]
Uncertainty Quantification for Multiscale Simulations [863]
Numerical solution of saddle point problems [223]
Recent advances in computational geodynamics: Theory, numerics and applications [1778]
Overview of adaptive finite element analysis in computational geodynamics [2268]
What makes computational open source software libraries successful? [136]
Advances and challenges in geotectonic modelling [464]
Attributes of a community computer code [708]
Attributes of a community lithospheric modeling computer code [708]
Moving lithospheric modeling forward: Attributes of a community computer code [708]
Software and the Scientist: Coding and Citation Practices in Geodynamics [1612]
Impact of Outreach through Software Citation for Community Software [1613]
The Role of Scientific Communities in Creating Reusable Software [1810]
On the cause of continental breakup [2528]
Eighty Years of the Finite Element Method: Birth, Evolution, and Future [2112]
Extensional systems
Fault linkage and relay structures in extensional settings [1060]
Rifted margin architecture and crustal rheology: Reviewing Iberia-Newfoundland, Central South Atlantic, and South China Sea [391]
Rifted Margins: State of the Art and Future Challenges [2646]
Geodynamics of continental rift initiation and evolution [394]
Rheology
Rheology of the lithosphere [1870]
The yield stress - a review [139]
The Origins of Rheology: A Short Historical Excursion [887]
Modeling shear zones: solid- and fluid-thermal-mechanical approaches [2816]
Rheology of the Lower Crust and Upper Mantle [445]
Tectonic pressure: Theoretical concepts and modelled examples [2207]
Rheology of deep upper mantle [1758]
Rheology and strength of the lithosphere [465]
Serpentine in active subduction zones [2846]
Plate tectonics on terrestrial planets: From the view-point of mineral physics [1759]
Yielding to Stress: Recent Developments in Viscoplastic Fluid Mechanics [132]
Tectonic significance of serpentinites [1326]
Clarification of terminology conflicts [3619]
Fold geometry and folding [2456]
Miscellaneous
The lithosphere
Evolution of the continental lithosphere [3186]
Lithosphere tectonics and thermo-mechanical properties: An integrated modelling approach for Enhanced Geothermal Systems exploration in Europe [654]
The behavior of the lithosphere on seismic to geologic timescales [3658]
Continental transforms [2537]
The structural evolution of the deep continental lithosphere [707]
Gravity & Geoid studies
Long wavelength gravity and topography anomalies [3657]
The geological significance of the geoid [557]
Observing Global Mass Transport to Understand Global Change and to benefit society [2592]
Understandin deep earth dynamics: a numerical modelling approach [3175]
Gravity observations and 3D structure of the Earth [2876]
Salt tectonics
Planetary Magnetic Fields and Fluid Dynamos [1716]
Analogue modelling: historical outline [1925]; Approaches, scaling, materials and quantification, with an application to subduction experiments [3034]
Exhumation of (ultra-)high-pressure terranes: concepts and mechanisms [3647]
Paradigms, new and old, for ultra-high-pressure tectonism [1366]
The role of solid-solid phase transitions in mantle convection [987]
Verification, validation and confirmation of numerical models [2584]
Structure and dynamics of the mantle wedge [1797]
Mountain building, observations and models of dynamic topgraphy [1042, 994]
Reconciling laboratory and observational models of mantle rheology in geodynamic modelling [1855]
Controlling parameters, surface expressions and the future directions in delamination modeling [1245]
Structural dynamics of salt systems [1648]
Crustal versus mantle core complexes [383]
Precambrian geodynamics: concepts and models [1187]
A review of brittle compressional wedge models [408]
accreted terranes: a compilation of island arcs, oceanic plateaus, submarine ridges, seamounts, and continental fragments [3414]
Hotspot swells [1847]
Theory of scale models as applied to the study of geologic structures [1574]
Dynamic Topography and Ice Age Paleoclimate [2347]
Coupled surface to deep Earth processes: Perspectives from TOPO-EUROPE with an emphasis on climate- and energy-related societal challenges [658]
How to efficiently debug computational solid mechanics models so you can enjoy the beauty of simulations [682]
topics.tex
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Sarah D Saltzer. “Boundary conditions in sandbox models of crustal extension: an analysis using distinct elements”. In: Tectonophysics 215.3-4 (1992), pp. 349–362. doi: 10.1016/0040-1951(92) 90361-9
T Nalpas and J-P Brun. “Salt flow and diapirism related to extension at crustal scale”. In:
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P.E. van Keken. “Evolution of starting mantle plumes: a comparison between numerical and laboratory models”. In: Earth Planet. Sci. Lett. 148 (1997), pp. 1–11. doi: 10.1016/S0012- 821X(97)00042-3
D.R. Burbridge and J. Braun. “Analogue models of obliquely convergent continental plate boundaries”. In: J. Geophys. Res. 103.B7 (1998), pp. 15, 221–15, 237. doi: 10.1029/98JB00751
Anne Davaille. “Simultaneous generation of hotspots and superswells by convection in a heterogeneous
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T. W. Becker, C. Faccenna, R. J. O’Connell, and D. Giardini. “The development of slabs in the upper
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Claudio Faccenna, Domenico Giardini, Philippe Davy, and Alessio Argentieri. “Initiation of
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Thierry Nalpas, Istvan Gyorfi, Francois Guillocheau, Francois Lafont, and Peter Homewood. “Influence
de la charge sedimentaire sur le developpement d’anticlinaux synsedimentaires; modelisation
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WP Schellart. “Shear test results for cohesion and friction coefficients for different granular materials:
scaling implications for their usage in analogue modelling”. In: Tectonophysics 324.1-2 (2000),
pp. 1–16
Dimitrios Sokoutis, Marco Bonini, Sergei Medvedev, Mario Boccaletti, Christopher J Talbot, and
Hemin Koyi. “Indentation of a continent with a built-in thickness change: experiment and nature”.
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A Chemenda, S Lallemand, and A Bokun. “Strain partitioning and interplate friction in oblique
subduction zones: Constraints provided by experimental modeling”. In: Journal of Geophysical
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Laurent Michon and Olivier Merle. “Crustal structures of the Rhinegraben and the Massif Central
grabens: An experimental approach”. In: Tectonics 19.5 (2000), pp. 896–904. doi: 10.1029/
2000TC900015
Paul S Hall and Chris Kincaid. “Diapiric flow at subduction zones: A recipe for rapid transport”. In:
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AI Chemenda, R-K Yang, J-F Stephan, EA Konstantinovskaya, and GM Ivanov. “New results from
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C Lithgow-Bertelloni, MA Richards, CP Conrad, and RW Griffiths. “Plume generation in natural
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Anne Davaille, Fabien Girard, and Michael Le Bars. “How to anchor hotspots in a convecting mantle?” In: Earth and Planetary Science Letters 203.2 (2002), pp. 621–634
JHW Smit, JP Brun, and D Sokoutis. “Deformation of brittle-ductile thrust wedges in experiments
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G Mulugeta and D Sokoutis. “Hanging wall accommodation styles in ramp-flat thrust models”. In:
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T Nalpas et al. “Effects of rate and nature of synkinematic sedimentation on the growth of compressive
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WP Schellart. “Quantifying the net slab pull force as a driving mechanism for plate tectonics”. In:
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WP Schellart. “Kinematics of subduction and subduction-induced flow in the upper mantle”. In:
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D Jurine, C Jaupart, G Brandeis, and PJ Tackley. “Penetration of mantle plumes through depleted
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W.P. Schellart. “Influence of the subducting plate velocity on the geometry of the slab and migration
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Dimitrios Sokoutis, Jean-Pierre Burg, Marco Bonini, Giacomo Corti, and Sierd Cloetingh.
“Lithospheric-scale structures from the perspective of analogue continental collision”. In:
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C Tirel, J-P Brun, and D Sokoutis. “Extension of thickened and hot lithospheres: Inferences from
laboratory modeling”. In: Tectonics 25.1 (2006)
Alexander R Cruden, Mohammad HB Nasseri, and Russell Pysklywec. “Surface topography and
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Laetitia Le Pourhiet, L Mattioni, and I Moretti. “3D modelling of rifting through a pre-existing stack of
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Marion Panien, SJH Buiter, Guido Schreurs, and Othmar-Adrian Pfiffner. “Inversion of a symmetric
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L Mattioni, Laetitia Le Pourhiet, and I Moretti. “Rifting through a heterogeneous crust: insights
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Dimitrios Sokoutis et al. “Modelling the extension of heterogeneous hot lithosphere”. In: Tectonophysics 444.1-4 (2007), pp. 63–79
Sierd Cloetingh, Fred Beekman, Peter A Ziegler, Jan-Diederik van Wees, and Dimitrios Sokoutis.
“Post-rift compressional reactivation potential of passive margins and extensional basins”. In:
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F Funiciello, C Faccenna, Arnauld Heuret, Serge Lallemand, Erika Di Giuseppe, and TW Becker.
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Nicolas Espurt et al. “Flat subduction dynamics and deformation of the South American plate: Insights
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Thibaud Pichot and Thierry Nalpas. “Influence of synkinematic sedimentation in a thrust system
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S. Bonnet. “Shrinking and splitting of drainage basins in orogenic landscapes from the migration of
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Anne Davaille, Angela Limare, Floriane Touitou, Ichiro Kumagai, and Judith Vatteville. “Anatomy
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Oğuz H Göğüş, Russell N Pysklywec, Fabio Corbi, and Claudio Faccenna. “The surface tectonics of
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Fabien Graveleau, J-E Hurtrez, Stéphane Dominguez, and Jacques Malavieille. “A new experimental
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Fabien Graveleau, Jacques Malavieille, and Stéphane Dominguez. “Experimental modelling of
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G. Iaffaldano, E. Di Giuseppe, F. Corbi, F. Funiciello, C. Faccenna, and H.-P. Bunge. “Varying
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Stefan Luth, Ernst Willingshofer, Dimitrios Sokoutis, and Sierd Cloetingh. “Does subduction
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PE van Keken, A Davaille, and J Vatteville. “Dynamics of a laminar plume in a cavity: The influence
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Ivar Midtkandal, Jean-Pierre Brun, Roy H Gabrielsen, and Ritske S Huismans. “Control of lithosphere
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Clio Meyer and Wouter Pieter Schellart. “Three-dimensional dynamic models of subducting
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R Keppler, FM Rosas, and TJ Nagel. “Thin viscous middle-crust and evolving fault distribution
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Michael Warsitzka, Jonas Kley, and Nina Kukowski. “Salt diapirism driven by differential loading -
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E Calignano, D Sokoutis, E Willingshofer, F Gueydan, and S Cloetingh. “Strain localization at
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Filipe M Rosas, João C Duarte, Wouter Pieter Schellart, Ricardo Tomas, Vili Grigorova, and Pedro
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Zhihao Chen, Wouter P Schellart, and João C Duarte. “Quantifying the energy dissipation of
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Guido Schreurs et al. “Benchmarking analogue models of brittle thrust wedges”. In: Journal of
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Zhihao Chen, Wouter P Schellart, Vincent Strak, and João C Duarte. “Does subduction-induced
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E Calignano, D Sokoutis, E Willingshofer, J-P Brun, F Gueydan, and S Cloetingh. “Oblique contractional reactivation of inherited heterogeneities: Cause for arcuate orogens”. In: Tectonics 36.3 (2017), pp. 542–558. doi: 10.1002/2016TC004424
Paul Pitard, Anne Replumaz, Francesca Funiciello, Laurent Husson, and Claudio Faccenna. “Mantle
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Anouk Beniest, Ernst Willingshofer, Dimitrios Sokoutis, and William Sassi. “Extending continental
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W.P. Schellart, Z. Chen, V. Strak, J.C. Duarte, and F.M. Rosas. “Pacific subduction control on Asian
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Carlos Fernández-Garca, Benjamin Guillaume, and Jean-Pierre Brun. “3D slab breakoff in laboratory
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Frank Zwaan, Guido Schreurs, and Matthias Rosenau. “Rift propagation in rotational versus
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Shengxing Zhang, Yiliang Li, Wei Leng, and Michael Gurnis. “Photoferrotrophic bacteria initiated
plate tectonics in the Neoarchean”. In: Geophysical Research Letters 50.13 (2023), e2023GL103553.
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Geoffrey F Davies. “Dynamics of the Hadean and Archaean mantle”. In: Developments in Precambrian
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this should be split into oceanic, continental, 2D, 3D ... add oceanic transforms as separate topic?
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CC Reese, VS Solomatov, and L-N Moresi. “Heat transport efficiency for stagnant lid convection with dislocation viscosity: Application to Mars and Venus”. In: Journal of Geophysical Research: Planets 103.E6 (1998), pp. 13643–13657
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This category should be subdivided into continental collision, subduction 2D & 3D...
needs sorting: what are the major subtopics ? plate contact/trench? bending ? angle?
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S. Willett, C. Beaumont, and P. Fullsack. “Mechanical model for the tectonics of doubly vergent
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Christopher Beaumont and Garry Quinlan. “A geodynamic framework for interpreting crustal-scale
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J.X. Mitrovica, R.N. Pysklywec, C. Beaumont, and A. Rutty. “The Devonian to Permian
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R.A. Jamieson, C. Beaumont, P. Fullsack, and B. Lee. “Barrovian regional metamorphism: where’s
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P. Waschbusch, G. Batt, and C. Beaumont. “Subduction zone retreat and recent tectonics of the
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L. Han and M. Gurnis. “How valid are dynamic models of subduction and convection when plate
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T. W. Becker, C. Faccenna, R. J. O’Connell, and D. Giardini. “The development of slabs in the upper
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PM Burgess and LN Moresi. “Modelling rates and distribution of subsidence due to dynamic
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A. Rowland and J. H. Davies. “Buoyancy rather than rheology controls the thickness of the
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S. Ellis, C. Beaumont, and O.A. Pfiffner. “Geodynamic models of crustal-scale episodic tectonic
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S. Ellis and C. Beaumont. “Models of convergent boundary tectonics: Implications for the
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C. Beaumont, S. Ellis, and A. Pfiffner. “Dynamics of sediment subduction-accretion at convergent
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C. Beaumont, J.A. Munoz, J. Hamilton, and P. Fullsack. “Factors controlling the Alpine evolution
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A Chemenda, S Lallemand, and A Bokun. “Strain partitioning and interplate friction in oblique
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AI Chemenda, R-K Yang, J-F Stephan, EA Konstantinovskaya, and GM Ivanov. “New results from
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C. Beaumont, R.A. Jamieson, M.H. Nguyen, and S. Medvedev. “Crustal channel flows: 1. Numerical
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Icy moons are a class of natural satellites with surfaces composed mostly of ice. An icy moon may harbor an ocean underneath the surface, and possibly include a rocky core of silicate or metallic rocks. https://en.wikipedia.org/wiki/Icy_moon
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The Galilean satellites were first seen by the Italian astronomer Galileo Galilei in 1610. Io is closest, followed by Europa, Ganymede, and Callisto. It has a smooth and bright surface, with a layer of water surrounding the mantle of the planet, thought to be 100 kilometers thick.
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https://en.wikipedia.org/wiki/Ceres_(dwarf_planet) The robotic NASA spacecraft Dawn approached Ceres for its orbital mission in 2015. and found Ceres’s surface to be a mixture of water ice, and hydrated minerals such as carbonates and clay.
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Enceladus is the sixth-largest moon of Saturn (19th largest in the Solar System). It is about 500 kilometers in diameter, about a tenth of that of Saturn’s largest moon, Titan. Enceladus is mostly covered by fresh, clean ice, making it one of the most reflective bodies of the Solar System. https://en.wikipedia.org/wiki/Enceladus
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Thibault Duretz et al. “Numerical modelling of Cretaceous Pyrenean Rifting: The interaction between
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A. Jourdon, L. Le Pourhiet, Mouthereau F, and E. Masini. “Role of rift maturity on the architecture
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Ritske S Huismans, Yuri Y Podladchikov, and Sierd Cloetingh. “Dynamic modeling of the transition from passive to active rifting, application to the Pannonian basin”. In: Tectonics 20.6 (2001), pp. 1021–1039
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S van Benthem and Rob Govers. “The Caribbean plate: Pulled, pushed, or dragged?” In: Journal Of Geophysical Research 115.B10 (2010), B10409. doi: 10.1029/2009JB006950
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In what follows I make a quick inventory of the main codes of computational geodynamics, for crust, lithosphere and/or mantle modelling. In order to find all CIG-codes citations go to: https://geodynamics.org/cig/news/publications-refbase/
ABAQUS
Regenauer-Lieb and Yuen [2817]
Regenauer-Lieb and Yuen [2815]
Branlund, Regenauer-Lieb, and Yuen [341]
Gerbault, Davey, and Henrys [1158]
Funiciello, G. Morra, and Giardini [1115]
Hetzel and Hampel [1491]
Hampel and Pfiffner [1384]
Capitanio, Morra, and Goes [512]
Heidbach [1449], Maniatis, Kurfess, Hampel, and Heidbach [2217]
Capitanio, Morra, Goes, Weinberg, and Moresi [513]
Naliboff, Lithgow-Bertelloni, Ruff, and Koker [2488], Li and Hampel [2049]
So, Yuen, and Lee [3195]
Fourel, Goes, and Morra [1065]
Peters, Veveakis, Poulet, Karrech, Herwegh, and Regenauer-Lieb [2652], Hampel and Hetzel [1382], Zeumann and Hampel [3852]
Nabavi, Alavi, Mohammadi, Ghassemi, and Frehner [2455]
Nabavi, Alavi, Mohammadi, and Ghassemi [2454]
Hampel, Lüke, Krause, and Hetzel [1383]
So and Capitanio [3196]
Dielforder and Hampel [871]
Chen et al. [573]
ADINA
Zhu, Zhang, Zhu, and Guo [3921]
ACuTEMan A multigrid-based mantle convection simulation code
Alborz-3DSCV
ANSYS
ADELI
Belonging to the same family as the FLAC (Fast Lagrangian Analysis of Continua; Cundall and Board, 1988 [755]) and Parovoz codes (Poliakov and Podladchikov, 1992 [2711]; Gerbault et al. , 2009 [1164]), ADELI is based on an explicit temporal finite difference approach associated with the dynamic relaxation method (Underwood, 1983). Numerical and mechanical aspects of this code in a 2-D or 3-D context can be found in Hassani et al. (1997) [1430] and Chéry et al. (2001) [595].
https://code.google.com/archive/p/adeli/
https://code.google.com/archive/p/adeli/wikis/Publications.wiki
Hassani and Chéry [1429]
Hassani, Jongmans, and Chéry [1430]
Huc, Hassani, and Chéry [1576]
Vanbrabant, Jongmans, Hassani, and Bellino [3558]
Lesne, Calais, Deverchère, Chéry, and Hassani [2032]
Chéry, Zoback, and Hassani [595]
Provost, Chéry, and Hassani [2728]
Godard, Cattin, and Lavé [1233], Berger, Jouanne, Hassani, and Mugnier [252]
Bonnardot, Hassani, and Tric [304] and Bonnardot, Hassani, Tric, Ruellan, and Regnier [305], Got, Monteiller, Monteux, Hassani, and Okubo [1265], Neves, Tommasi, Vauchez, and Hassani [2518]
Gerbault, Cappa, and Hassani [1157], Gibert, Gerbault, Hassani, and Tric [1219]
Wang, He, Ding, and Gao [3626]
Cerpa, Hassani, Gerbault, and Prévost [540], Messager, Hassani, and Nivière [2325]
Cerpa, Araya, Gerbault, and Hassani [538]
Cerpa, Guillaume, and J.Martinod [539], Gerbault, Hassani, Lizama, and Souche [1159]
Tarayoun, Mazzotti, and Gueydan [3405]
Cerpa and Arcay [543]
Signorelli, Hassani, Tommasi, and Mameri [3156], Cerpa et al. [546]
Mameri, Tommasi, Vauchez, Signorelli, and Hassani [2206]
Aspect ASPECT code
This code is hosted by CIG at https://geodynamics.org/cig/software/aspect/. It is an open source community code based on the finite element library deal.II [135, 65, 66]. It is massively parallel, relies on the p4est library for adaptive mesh refinement, uses the Trilinos solver library [1484], and can deal with 2D and 3D geometries.
Kronbichler, Heister, and Bangerth [1930]
Dannberg and Heister [784], Gassmöller, Dannberg, Bredow, Steinberger, and Torsvik [1141], Zhang and O’Neill [3868]
He, Puckett, and Billen [1441], Dannberg, Eilon, Faul, Gassmöller, Moulik, and Myhill [782], Heister, Dannberg, Gassmöller, and Bangerth [1454], Rose, Buffet, and Heister [2949], Rose and Buffett [2950], Austermann, Mitrovica, Huybers, and Rovere [81], Thieulot [3431], Bredow, Steinberger, Gassmöller, and Dannberg [362], O’Neill, Marchi, Zhang, and Bottke [2553], Takeyama, Saitoh, and Makino [3385]
Dannberg and Gassmöller [783], O’Neill and Zhang [2554], Glerum, Thieulot, Fraters, Blom, and Spakman [1228] Gassmöller, Lokavarapu, Heien, Puckett, and Bangerth [1142], Perry-Houts and Karlstrom [2649], Puckett, Turcotte, He, Lokavarapu, Robey, and Kellogg [2729], Bredow and Steinberger [361], Zhang and Li [3858]
Bauville and Baumann [159], Steinberger, Bredow, Lebedev, Schaeffer, and Torsvik [3291], Corti et al. [711], Liu and King [2108], Gassmöller, Lokavarapu, Bangerth, and Puckett [1144], Dannberg, Gassmöller, Grove, and Heister [788], Njinju et al. [2532], Şengül Uluocak, Pysklywec, Göğüş, and Ulugergerli [3122], Robey and Puckett [2913], Fraters, Thieulot, Berg, and Spakman [1072], Fraters, Bangerth, Thieulot, Glerum, and Spakman [1073], Lin, Xu, Sun, and Zhou [2080], Heron et al. [1480], Heron, Pysklywec, Stephenson, and Hunen [1483], Perry-Hout [2648]
Gassmöller, Dannberg, Bangerth, Heister, and Myhill [1143], Farangitakis, Heron, McCaffrey, Hunen, and Kalnins [1006], Louis–Napoléon, Gerbault, Bonometti, Thieulot, Martin, and Vanderhaeghe [2137], Heyn, Conrad, and Trønnes [1495], Heyn, Conrad, and Trønnes [1496], Glerum, Brune, Stamps, and Strecker [1229], Lees, Rudge, and McKenzie [1990] Naliboff, Glerum, Brune, Péron-Pinvidic, and Wrona [2489], Citron et al. [633], Heron, Murphy, Nance, and Pysklywec [1474], O’Neill, Lowman, and Wasiliev [2541], Assanelli, Luoni, Rebay, Roda, and Spalla [77], Muluneh et al. [2441], Negredo, Mancilla, Clemente, Morales, and Fullea [2497], Lesher et al. [2030], Mitrovica et al. [2347], Withers [3739]
Barrionuevo et al. [144], Bredow and Steinberger [363], Rajaonarison, Stamps, and Naliboff [2775], Saxena, Choi, Powell, and Aslam [3023], Grevemeyer, Rüpke, Morgan, Iyer, and Devey [1301], Heckenbach, Brune, Glerum, and Bott [1446], Njinju, Stamps, Neumiller, and Gallager [2531], Clevenger and Heister [647], Faccenna, Becker, Holt, and Brun [995], Neuharth, Brune, Glerum, Heine, and Welford [2512], Comeau, Stein, Becken, and Hansen [681], Gouiza and Naliboff [1270], Sandiford, Brune, Glerum, Naliboff, and Whittaker [3006], Holt and Condit [1532], Fraters and Billen [1074], Magni, Naliboff, Prada, and Gaina [2187], Şengül Uluocak, Göğüş, Pysklywec, and Chen [3123], Richter, Brune, Riedl, Glerum, Neuharth, and Strecker [2895], Dannberg, Myhill, Gassmöller, and Cottaar [790]
Thieulot and Bangerth [3433], Palmiotto, Ficini, Loreto, Muccini, and Cuffaro [2593], Behr, Holt, Becker, and Faccenna [203], O’Neill and Aulbach [2555], Zha, Lin, Zhou, Xu, and Zhang [3853], Neuharth, Brune, Glerum, Morley, Yuan, and Braun [2513], Neuharth, Brune, Wrona, Glerum, Braun, and Yuan [2514], Lundin, Doré, Naliboff, and van Wijk [2164], Heyn and Conrad [1494], Bahadori et al. [104], Liu and Yang [2103], Weerdesteijn, Conrad, and Naliboff [3664], Cloetingh, Koptev, Lavecchia, Kovács, and Beekman [657], Bahadori et al. [105], Holt [1529], Liu and King [2109], Pan, Naliboff, Bell, and Jackson [2594], Xie, Huang, and Zhang [3763], Lee, Saxena, Song, Rhie, and Choi [1989], Heilman and Becker [1452], Maestrelli, Brune, Corti, Keir, Muluneh, and Sani [2180], Dannberg, Gassmöller, Li, Lithgow-Bertelloni, and Stixrude [789], Pons, Sobolev, Liu, and Neuharth [2719]
Heron, Peace, McCaffrey, Sharif, Yu, and Pysklywec [1475], Hollyday, Austermann, Lloyd, Hoggard, Richards, and Rovere [1527], Weerdesteijn et al. [3665], Changsheng, Pengchao, and Dongping [552], Zheng, Zhang, Wang, Zhang, and Shi [3882], Liu et al. [2120], Schmid, Brune, Glerum, and Schreurs [3077], Lanari et al. [1948], Monaco, Dannberg, Gassmoeller, and Pugh [2370], Phillips, Naliboff, McCaffrey, Pan, Hunen, and Froemchen [2679], He and Kapp [1439], Bodur et al. [295], Liu et al. [2111], Liu and Pysklywec [2117], Heron et al. [1481], Bodur et al. [295], Pons, Rodriguez Piceda, Sobolev, Scheck-Wenderoth, and Strecker [2718], Liu, Yang, and Qi [2104], Sandiford and Craig [3007], Neuharth and Mittelstaedt [2515], Richards, Coulson, Hoggard, Austermann, Dyer, and Mitrovica [2880], Liu, Yang, and Qi [2104], Saxena, Dannberg, Gassmöller, Fraters, Heister, and Styron [3024], Njinju, Stamps, Atekwana, Rooney, and Rajaonarison [2530], Guo, Sun, and Wei [1339], Dannberg, Chotalia, and Gassmöller [787], Steinberger, Grasnick, and Ludwig [3293],
Wiel, Hinsbergen, Thieulot, and Spakman [3707], Dong et al. [886], Gea, Lis Mancilla, Negredo, and Hunen [1146], Goldberg and Holt [1252]
BASIL & ELLE
From http://homepages.see.leeds.ac.uk/~eargah/basil/: Basil is a finite element program which calculates quantities which describe stress and strain in non-linear viscous materials, for strains up to the of order 100%. The calculations describe very viscous Earth materials which undergo irreversible large-strain deformation at high temperature and over long time periods, under the influence of body forces and surface tractions. Sybil is the post-processing program that permits basil solutions to be examined in detail using an interactive graphical user interface.
The program permits a spatially variable Newtonian or non-Newtonian viscosity in a 2-D geometry with boundary conditions on traction and/or velocity. It is also possible to include a single fault or discontinuity in the problem in a dynamically self consistent way. The 2-D deformation field represents either plane-strain deformation, or it permits a specified distribution of normal stress in the third direction. The latter is referred to as the thin viscous sheet formulation when the normal force is due to gravity acting on variations of the layer thickness. Plane-stress calculations are a specific case of the thin viscous sheet formulation.
The programs basil and sybil have been developed mainly at Monash University since 1988, and before that at ANU and Harvard. The present set of programs has been developed mainly by Greg Houseman, Terence Barr and Lynn Evans.
ELLE is an open-source multi-process and multi-scale software for the simulation of geologic processes, especially (but not only) during deformation and metamorphism. It is coupled to/based on BASIL. See http://elle.ws/ for a complete list of publications.
In Barr and Houseman [141] we find in the appendix: “we use triangular elements with quadratic interpolation func- tions for velocity and linear interpolation functions”, i.e. P2 × P1 elements.
BEM Fast Multipole-accelerated Boundary Element Method Boundary Element Method BEM
Crouch, Starfield, and Rizzo [741]
Katzman et al. [1768]
Morra et al. [2422]
Morra et al. [2421]
Morra et al. [2424]
Ribe [2849]
Quevedo, Morra, and Müller [2764], Butterworth et al. [483], Li & Ribe [2065]
Quevedo, Hansra, Morra, Butterworth, and Müller [2763]
Di Leo et al. [867], Li et al. [2063]
Xu & Ribe [3766]
Gerardi et al. [1153]
CHIC CHIC code
Noack, Rivoldini, and van Hoolst [2533]
CitcomS and CitComCU CitComS code
Citcom (California Institute of Technology COnvection in the Mantle) was developed by Louis Moresi at the California Institute of Technology (Moresi, 1992). This code solved the equations of viscous fluid dynamics, and, as the name implies, was geared towards modelling convection in the Earth’s mantle. Moresi and Solomatov (1995) provide a detailed description of the multigrid finite element algorithm. After this and during his time at CSIRO, Dr. Moresi modified the code to include mobile integration points. The code became a particle-in-cell finite-element code named CItcom , which was able to track and evolve material properties on particles. This work at CSIRO resulted in a new generation of the software, named Ellipsis.
Taken from a presentation give by Quenette at CIG meeting in 2009.
Taken from a poster by Tan et al. at Geomath, Sept. 26th, 2008.
These codes are hosted by CIG at
https://geodynamics.org/cig/software/citcomcu/
https://geodynamics.org/cig/software/citcoms/
Solomatov & Moresi [3217], Moresi & Gurnis [2399], Zhong & Gurnis [3903]
Moresi & Lenardic [2395], Burgess et al. [443], Solomatov & Moresi [3226]
Moresi & Solomatov [2401], Zhong et al. [3896], Gurnis et al. [1356], Reese et al. [2812]
Moresi & Lenardic [2406], Burgess & Moresi [444], van Keken & Zhong [1789], Lenardic & Moresi [2001], Reese et al. [2813]
Zhong et al. [3900], Gurnis et al. [1343, 1355], Lenardic et al. [2000], Solomatov & Moresi [3221]
Billen and Gurnis [271], Lenardic and Moresi [2015], Zhong [3906]
Hunen and Zhong [1597], Conrad and Gurnis [694], Billen and Gurnis [272], Lenardic, Moresi, and Mühlhaus [2017], Vezolainen, Solomatov, Head, Basilevsky, and Moresi [3571], Lenardic and Moresi [1999], Billen, Gurnis, and Simons [279],
Ke and Solomatov [1784], Solomatov [3213], Freeman, Moresi, and May [1081], Lenardic, Nimmo, and Moresi [2018], Cooper, Lenardic, and Moresi [705], McNamara and Zhong [2296], Vezolainen, Solomatov, Basilevsky, and Head [3570], Roberts and Zhong [2912]
Hunen, Zhong, Shapiro, and Ritzwoller [1599], Billen and Hirth [273], McNamara and Zhong [2298], McNamara and Zhong [2297], Lenardic, Moresi, Jellinek, and Manga [2016], Zhong [3904]
Solomatov and Barr [3215], Becker [182], Becker, Chevrot, Schulte-Pelkum, and Blackman [187], Piromallo, Becker, Funiciello, and Faccenna [2688], Tan, Choi, Thoutireddy, Gurnis, and Aivazis [3389], Zhang and Pysklywec [3859] Becker, Schulte-Pelkum, Blackman, Kellogg, and O’Connell [185], Conrad and Lithgow-Bertelloni [695], Freeman, Moresi, and May [1080], Cooper, Lenardic, and Moresi [704], Zhong [3886], Ke and Solomatov [1783], Roberts and Zhong [2910], Cooper, Lenardic, Levander, Moresi, and Benn [706]
Solomatov and Barr [3216], Billen and Hirth [274], Zhong, Zhang, Li, and Roberts [3899], Manea and Gurnis [2211], Ballmer, Hunen, Ito, Tackley, and Bianco [126], Ritsema, McNamara, and Bull [2901], Moucha, Forte, Mitrovica, and Daradich [2427], Conrad, Behn, and Silver [693], Quenette, Moresi, Sunter, and Appelbe [2760], Huang and Davies [1567], Roberts and Zhong [2911]
Garnero and McNamara [1137], Wijk, Hunen, and Goes [3708], Di Giuseppe, Van Hunen, Funiciello, Faccenna, and Giardini [866], Zhong, McNamara, Tan, Moresi, and Gurnis [3897], Höink and Lenardic [1520], Lenardic, Jellinek, and Moresi [2014], Liu, Spasojević, and Gurnis [2102], Chen, Zhang, Yuen, Zhang, Zhang, and Shi [574], Becker, Kustowski, and Ekström [192], Becker [196], Sleep [3185], Leng and Zhong [2021], King [1843], Liu and Gurnis [2098], Métivier and Conrad [2327], Roberts and Nimmo [2909], Spasojevic, Liu, Gurnis, and Müller [3246],
Ke and Solomatov [1782], Bull, McNamara, and Ritsema [424], Spasojevic, Liu, and Gurnis [3245], Lia and Zhong [2068], Armitage, Henstock, Minshull, and Hopper [64], Naliboff, Conrad, and Lithgow-Bertelloni [2487], Zhang, Zhong, and McNarmara [3863], Andrews and Billen [49], Roberts, Lillis, and Manga [2908], Foley and Becker [1051], Burkett and Billen [447], Becker and Faccenna [179], Ballmer, Hunen, Ito, Bianco, and Tackley [125], Leng and Zhong [2020], Bower, Gurnis, Jackson, and Sturhahn [334], Zhong [3887], Conrad and Husson [690], Cooper and Conrad [702], Manea, Manea, Leeman, and Schutt [2212]
Leng and Zhong [2027], Bull, McNamara, Becker, and Ritsema [423], Srámek and Zhong [3259], Wijk et al. [3712], Ballmer, Ito, Hunen, and Tackley [127], Alpert, Becker, and Bailey [41], Burkett and Billen [448], Zhang, Zhong, Leng, and Li [3862], Billen [269], Conrad and Behn [688], Jadamec and Billen [1662], Zhu, Shi, and Tackley [3927], Boschi, Faccenna, and Becker [317], Höink and Lenardic [1525], Harig, Zhong, and Simons [1422], Faccenna, Becker, Lallemand, Lagabrielle, Funiciello, and Piromallo [991], DiCaprio, Muller, and Gurnis [870], Faccenna and Becker [990], Ghosh, Becker, and Zhong [1211], Lassak, McNamara, Garnero, and Zhong [1960], McNamara, Garnero, and Rost [2295], Shephard, Müller, Liu, and Gurnis [3143], Spasojevic, Gurnis, and Sutherland [3243], Spasojevic, Gurnis, and Sutherland [3244]
Becker and Faccenna [184], Lenardic, Moresi, Jellinek, O’Neill, Cooper, and Lee [2013], Becker and Kawakatsu [197], van Hunen and Allen [3544], Leng and Gurnis [2022], Liu and Stegman [2100], Ballmer, Ito, Hunen, and Tackley [128], Bower, Wicks, Gurnis, and Jackson [335], Trubitsyn, Evseev, Evseev, and Kharybin [3486], Obermaier, Billen, Hagen, Hering-Bertram, and Hamann [2557], Bianco, Conrad, and Smith [265], Zhang, Xing, Yuen, Zhang, and Shi [3873], DiCaprio, Gurnis, Muller, and Tan [869], Orth and Solomatov [2586], Matthews, Hale, Gurnis, Müller, and DiCaprio [2256], Tan, Leng, Zhong, and Gurnis [3394], Ramsay and Pysklywec [2780], Schaefer, Boschi, Becker, and Kissling [3026], Hinsbergen, Steinberger, Doubrovine, and Gassmöller [1504], Summeren, Conrad, and Gaidos [3342], Zhang and Zhong [3860]
Arredondo and Billen [70], Jadamec and Billen [1659], Billen and Jadamec [275], Bottrill, Hunen, and Allen [324], Husson, Conrad, and Faccenna [1605], Zhong, Yuen, Moresi, and Knepley [3901], Hines and Billen [1503], Jadamec, Billen, and Kreylos [1663], Manea, Pérez-Gussinyé, and Manea [2214], Solomatov [3214], Trubitsyn [3485], Cottaar and Buffett [716], Han, Tobie, and Showman [1389], Höink, Lenardic, and Richards [1522], Husson and Conrad [1604], Liu and Stegman [2099], Miller and Becker [2334], Summeren, Conrad, and Lithgow-Bertelloni [3343], Natarov and Conrad [2495], Roberts and Arkani-Hamed [2906], Roberts and Barnouin [2907], Shephard, Liu, Müller, and Gurnis [3142], Srámek and Zhong [3260], Weller and Lenardic [3681], Zhang, Zhong, and Flowers [3861], Zahirovic, Müller, Seton, Flament, Gurnis, and Whittaker [3842], Magni, Hunen, Funiciello, and Faccenna [2183]
Ballmer, Conrad, Smith, and Harmon [123], Bower, Gurnis, and Seton [332], Bower, Gurnis, and Sun [333], Jadamec, Billen, and Roeske [1660], Quéré, Lowman, Arkani-Hamed, Roberts, and Moucha [2762], Faccenna, Becker, Jolivet, and Keskin [996], Olson, Deguen, Hinnov, and Zhong [2577], Arrial and Billen [71], Faccenna, Becker, Conrad, and Husson [994], Conrad, Steinberger, and Torsvik [696], Burkett and Gurnis [449], Showman, Han, and Hubbard [3150], Flament, Gurnis, and Müller [1042], Conrad [687], O’Neill, Debaille, and Griffin [2547] Ghosh, Becker, and Humphreys [1208], Huang, Yang, and Zhong [1568], Key, Constable, Liu, and Pommier [1823], Summeren, Gaidos, and Conrad [3344], Magni, Faccenna, Hunen, and Funiciello [2188], Alpert, Miller, Becker, and Allam [42]
Rudolph and Zhong [2962], Flament et al. [1039], Becker, Conrad, Schaeffer, and Lebedev [188], Bull, Domeier, and Torsvik [422], Kaislaniemi and Hunen [1734], Zhu [3928] Arrial, Flyer, Wright, and Kellogg [72], Wang, van Hunen, Pearson, and Allen [3616], Magni, Bouilhol, and Hunen [2186], Sekhar and King [3116], Agrusta, Hunen, and Goes [17],
Wong and Solomatov [3749], Zhong and Rudolph [3911], Williams, Li, McNamara, Garnero, and Soest [3727], Ballmer, Conrad, Smith, and Johnsen [124], Bower, Gurnis, and Flament [331], Becker, Lowry, Faccenna, Schmandt, Borsa, and Yu [194], Bouilhol, Magni, Hunen, and Kaislaniemi [327], Seton, Flament, Whittaker, Müller, Gurnis, and Bower [3124], Dannberg and Sobolev [785], Hunen and Miller [1596], Wang, Huang, and Zhong [3630], Wang, van Hunen, and Pearson [3615], Wang, Agrusta, and Hunen [3614], Hassan, Flament, Gurnis, Bower, and Múller [1428], Leng and Gurnis [2024], Taramon, Rodriguez-Gonzalez, Negredo, and Billen [3404], King [1853], Wang, Huang, and Zhong [3634], Ballmer, Schmerr, Nakagawa, and Ritsema [129], Motoki and Ballmer [2426], Liu and Zhong [2114], Weller, Lenardic, and O’Neill [3683], Holt, Becker, and Buffett [1528], Holt, Buffett, and Becker [1531]
Wong and Solomatov [3748] Wong and Solomatov [3750], Weller, Lenardic, and Moore [3684], Weller and Lenardic [3682], Jadamec [1658], Jadamec [1661], Fritzell, Bull, and Shephard [1091], Rodrguez-González, Billen, Negredo, and Montesi [2925], Liu and Zhong [2116], Bobrova and Baranov [292], Maunder, Hunen, Magni, and Bouilhol [2265], Li, Black, Zhong, Manga, Rudolph, and Olson [2042], Gu, Li, McCammon, and Lee [1314], Kiefer and Li [1834], McKinnon et al. [2293], Wang, Huang, Zhong, and Chen [3631], Yang and Gurnis [3796], Hu, Liu, Hermosillo, and Zhou [1564]
Agrusta, Goes, and Hunen [16], Magni, Allen, Hunen, and Bouilhol [2185], Becker [186], Freeburn, Bouilhol, Maunder, Magni, and Hunen [1078], Haynie and Jadamec [1438], Faccenna, Oncken, Holt, and Becker [1000], MacDougall, Jadamec, and Fischer [2174], Ghosh, Thyagarajulu, and Steinberger [1215], Ballmer, Lourenço, Hirose, Caracas, and Nomura [131], Taposeea, Armitage, and Collier [3401], Yang, Gurnis, and Zhan [3794], Li and Zhong [2046], Holt and Becker [1530], Zhou and Liu [3915]
Heyn, Conrad, and Tronnes [1493], King [1846], Riel, Capitanio, and Velic [2896], Kaislaniemi, Hunen, and Bouilhol [1735], Wang, Hunen, and Pearson [3617], Király, Holt, Funiciello, Faccenna, and Capitanio [1866], Hu, Liu, and Zhou [1565], Li, Zhong, and Olson [2038], Bellas, Zhong, Bercovici, and Mulyukova [207], Citron, Manga, and Tan [632], Trubitsyn and Evseev [3487], Trubitsyn and Trubitsyn [3484], Weller and Lenardic [3687], Yang, Gurnis, and Zahirovic [3797], Mao and Zhong [2227], Billen and Arredondo [270], Faccenna, Holt, Becker, Lallemand, and Royden [999]
Flament [1040], Maunder, Hunen, Bouilhol, and Magni [2264], Weller, Fuchs, Becker, and Soderlund [3685], Fuchs and Becker [1094], Magni [2184], Li and Zhong [2045], Ma, Liu, Gurnis, and Zhang [2172], Mao and Zhong [2225], Paul, Ghosh, and Conrad [2613], Bobrov and Baranov [291], Lenardic, Weller, Höink, and Seales [2002], Huang et al. [1566], Schliffke, Hunen, Magni, and Allen [3049], Allu Peddinti and McNamara [38], Reali, Jackson, Orman, Bower, Carrez, and Cordier [2795] Wang and Becker [3625], Trubitsyn [3483]
Weller and Kiefer [3686], Briaud, Agrusta, Faccenna, Funiciello, and Hunen [373], Paul and Ghosh [2612], van den Broek, Magni, Gaina, and Buiter [3535], Hertgen, Yamato, Guillaume, Magni, Schliffke, and Hunen [1488], Lourenço and Rudolph [2141], Billen [276], Semple and Lenardic [3121], Dang, Zhang, Li, Huang, Spencer, and Liu [781], Wang and Li [3635],
Cao, Flament, and Müller [505], Liu, Gurnis, Leng, Jia, and Zhan [2096], Luo and Leng [2169], Schliffke, Hunen, Gueydan, Magni, and Allen [3048], Liu, Gurnis, and Leng [2095], Manjón-Cabeza Córdoba and Ballmer [2219], Wang and Li [3636], Cao, Flament, Bodur, and Müller [504], Mao and Zhong [2226] Hu, Liu, and Gurnis [1563], Moreno and Manea [2393], Samuel, Ballmer, Padovan, Tosi, Rivoldini, and Plesa [3003], Mao and Zhong [2224]
Li and McNamara [2043], Schliffke, Hunen, Allen, Magni, and Gueydan [3047], Yuan and Li [3823], Flament, Bodur, Williams, and Merdith [1041], King et al. [1860], Ronghua, Jian, and Yong [2942], Ghosh and Pal [1214], Manjón-Cabeza Córdoba and Ballmer [2220], Peng and Liu [2634], Fuchs and Becker [1099]
Li [2040], Liu, Li, Zhang, and Sun [2115], Bodur and Flament [296], Hansen, Garnero, Li, Shim, and Rost [1400], Wang et al. [3633], Liu, Leng, Wang, and Zheng [2097], Zhang, Zhang, Liang, and Tokle [3874], Li [2040], Becker and Fuchs [189]
Bellas-Manley and Royden [211], Lobkovsky, Baranov, Bobrov, and Chuvaev [2126]
CitcomSVE CitComSVE code
It is a massively parallelized finite element software package for modeling elastic and viscoelastic deformation on regional and global scales due to surface loads or tidal loads. It employs a Lagrangian deformable grid and works for 3-D Cartesian, regional spherical, and global spherical geometries, and was first developed from CitcomS It incorporates dynamic sea-level equation, degree-1 motion, true polar wander, and mantle compressibility. The package makes use of massively parallel computations that enables high resolution and efficient modeling. As these loading models share similar numerical algorithms and finite element structures to their counterparts of convection models, they are benefitted directly from new developments to convection models including non-linear rheology and parallel computing.
COMSOL COMSOL
van Keken et al. [3551]
Currenti and Williams [758], Paczkowski, Montési, Long, and Thissen [2591]
Ratnaswamy, Stadler, and Gurnis [2793], Khaleque, Fowler, Howell, and Vynnycky [1824]
Chapman [554], Trim, Butler, and Spiteri [3476], Khaleque and Motaleb [1825] Lee, Seoung, and Cerpa [1987], Dasgupta, Sen, and Mandal [793]
ConMan ConMan codeSCAM code This code is hosted by CIG at https://geodynamics.org/cig/software/conman/
King, Raefsky, and Hager [1851], King and Ritsema [1859], Gurnis [1341] Humphreys and Hager [1593], King and Hager [1845]
Squyres, Jankowski, Simons, Solomon, Hager, and McGill [3258], Zhong and Gurnis [3893]
Kellogg and King [1806], Kiefer [1828], Lenardic and Kaula [2004] Lenardic, Kaula, and Bindschadler [2009], Zhong, Gurnis, and Hulbert [3894], Zhong and Gurnis [3889]
Ita and King [1637], Farnetani and Richards [1010] Gaherty and Hager [1126], Gurnis and Torsvik [1344] King and Hager [1844], Lenardic and Kaula [2007] Lenardic and Kaula [2008] Zhong and Gurnis [3891]
King and Ita [1857], King and Anderson [1848], Lenardic and Kaula [2005], Lenardic, Kaula, and Bindschadler [2010], Puster, Hager, and Jordan [2735], Puster, Jordan, and Hager [2736], Zhong and Gurnis [3892]
Larson and Kincaid [1958], Lenardic and Kaula [2006], Moresi, Zhong, and Gurnis [2402]
van Keken, King, Schmeling, Christensen, Neumeister, and Doin [3549], Kellogg and King [1807], Kellogg [1804], Moresi and Lenardic [2395]
King and Anderson [1849], Ita and King [1638], van Keken et al. [3551], King and Anderson [1849], Lenardic [2003], Montague, Kellogg, and Manga [2376]
Becker, Faccenna, O’Connell, and Giardini [180], Lenardic and Moresi [2001], Conrad and Molnar [691], Coltice and Ricard [674], Han and Gurnis [1385], Rowland and Davies [2953] Sidorin, Gurnis, and Helmberger [3154]
Lenardic and Moresi [2012], Conrad [686], Montague and Kellogg [2377], Elkins-Tanton and Hager [946], Lenardic and Moresi [2012]
Elkins-Tanton, Orman, Hager, and Grove [948]
Farnetani and Samuel [1013], Tackley and King [3361], Samuel and Farnetani [3001], Tackley and King [3361]
Elkins-Tanton, Hager, and Grove [947], Showman and Han [3149], Redmond and King [2800], Nagel, Breuer, and Spohn [2457]
Koglin Jr., Ghias, King, Jarvis, and Lowman [1883], Coltice [671], Mitri and Showman [2342], Showman and Han [3148], Tan and Gurnis [3392]
Naliboff and Kellogg [2483], Davies, Davies, Hassan, Morgan, and Nithiarasu [804], Coltice, Phillips, Bertrand, Ricard, and Rey [673], Elkins-Tanton [945], Long, Hager, Hoop, and Hilst [2134], Naliboff and Kellogg [2483], Redmond and King [2799]
Han and Showman [1388], Davies, Davies, Hassan, Morgan, and Nithiarasu [809]
Farnetani and Hofmann [1009], Hebert, Antoshechkina, Asimow, and Gurnis [1442], King [1842], Lee and King [1984], Watters, Zuber, and Hager [3654]
King et al. [1841], Conrad, Wu, Smith, Bianco, and Tibbetts [692], Han and Showman [1386], Lee and King [1985]
King, Frost, and Rubie [1850], Kim, Lee, and Kim [1836], Lim and Lee [2077]
Gasc et al. [1140]
SCAM (Spherical Convection in an Axisymmetric Mantle) is a spherical, axisymmetric version of the finite element code ConMan (!). It is used in Kellogg & King (1997) [1807], King (1997) [1852], Kiefer & Kellogg (1998) [1833], Kiefer (2003)[1830], Redmond & King (2004) [2800], Li & Kiefer [2047], Kiefer & Li [1834]. Also probably [1010] and [1014].
ConvRS/ConvGS
Douar Douar code
Braun, Thieulot, Fullsack, DeKool, and Huismans [350], Thieulot, Fullsack, and Braun [3434]
Yamato, Husson, Braun, Loiselet, and Thieulot [3775]
Murphy, Taylor, Gosse, Silver, Whipp, and Beaumont [2450], Whipp, Beaumont, and Braun [3694]
Nettesheim, Ehlers, Whipp, and Koptev [2511]
Koptev, Ehlers, Nettesheim, and Whipp [1910]
Schütt and Whipp [3109]
Koptev, Nettesheim, and Ehlers [1911], Koptev, Nettesheim, Falkowski, and Ehlers [1912]
Nameless code of Trompert and Hansen
Trompert and Hansen [3481] Trompert and Hansen [3480]Trompert and Hansen [3479] Goes, Cammarano, and Hansen [1237] Loddoch, Stein, and Hansen [2128] Loddoch and Hansen [2127]Stein and Hansen [3280] Stein, Fahl, and Hansen [3278] Stein, Lowman, and Hansen [3282] Stein and Hansen [3277] Stein and Hansen [3284]
MANDYOC
MC3D
MC3D utilises a hybrid spectral finite difference scheme flow solver and a finite volume scheme for the solution of the energy equation. It was originally developed at Los Alamos in the late 1980’s for Cray/Vector architecture. and later parallelized (MPI) to run on clusters (1999). MC3D is second-order accurate in time and space.
Gable, O’connell, and Travis [1122]
Lowman and Gable [2147]
Lowman, King, and Gable [2153]
Lowman, King, and Gable [2154]
Thomas, Kendall, and Lowman [3436], Lowman, King, and Gable [2152]
Koglin Jr., Ghias, King, Jarvis, and Lowman [1883]
Gait and Lowman [1128], Gait and Lowman [1127], Nettelfield and Lowman [2510], Jarvis and Lowman [1692], Lowman, Pinero-Feliciangeli, Kendall, and Shahnas [2155]
Gait, Lowman, and Gable [1129], Lowman, Gait, Gable, and Kukreja [2144]
Stein, Finnenkötter, Lowman, and Hansen [3279], Heron and Lowman [1471], Lowman, King, and Trim [2145]
Trim, Heron, Stein, and Lowman [3478]
Trim and Lowman [3477]
DYNEARTHSOL DYNEARTHSOL code
By critically evaluating the strengths and weaknesses of the FLAC algorithm, Choi et al. (2013) created a new code, DynEarthSol2D, and Tan et al. (2013) [AGU abstract] further extended it to three dimensions, DynEarthSol3D. DynEarthSol3D (Dynamic Earth Solver in three Dimensions) is a robust, flexible, open source finite element code for modeling non-linear responses of continuous media and thus suitable for long-term tectonic modeling. https://github.com/tan2/DynEarthSol
GeoFEST GeoFEST code GeoFEST (Geophysical Finite Element Simulation Tool) is a two- and three-dimensional finite element software package for the modeling of solid stress and strain in geophysical and other continuum domain applications. The physics models supported include isotropic linear elasticity and both Newtonian and power-law viscoelasticity, via implicit quasi-static time stepping. In addition to triangular, quadrilateral, tetrahedral and hexahedral continuum elements, GeoFEST supports split-node faulting, body forces, and surface tractions.
[2602]
ELMER ELMER code Elmer is an open source multiphysical simulation software mainly developed by CSC - IT Center for Science (CSC). Elmer development was started 1995 in collaboration with Finnish Universities, research institutes and industry. Elmer includes physical models of fluid dynamics, structural mechanics, electromagnetics, heat transfer and acoustics, for example. These are described by partial differential equations which Elmer solves by the Finite Element Method (FEM). https://www.csc.fi/web/elmer
LaCoDe LaCoDe code
MDoodz, Duretz code
https://github.com/tduretz/MDOODZ6.0
Yamato, Tartese, Duretz, and May [3777]
Yamato, Husson, Becker, and Pedoja [3774]
Yamato, Duretz, May, and Tartese [3780]
Duretz, May, and Yamato [923], Duretz, Petri, Mohn, Schmalholz, Schenker, and Müntener [924]
Chenin, Manatschal, Decarlis, Schmalholz, Duretz, and Beltrando [584], Duretz et al. [926], Petri, Duretz, Mohn, Schmalholz, Karner, and Müntener [2659]
Poh, Yamato, Duretz, Gapais, and Ledru [2706], Bessat, Duretz, Hetényi, Pilet, and Schmalholz [254], Candioti, Schmalholz, and Duretz [502], Chenin, Schmalholz, Manatschal, and Duretz [585], Auzemery, Willingshofer, Yamato, Duretz, and Sokoutis [84]
Porkoláb, Duretz, Yamato, Auzemery, and Willingshofer [2721], Candioti, Duretz, Moulas, and Schmalholz [500], Auzemery, Willingshofer, Yamato, Duretz, and Beekman [86], Poh, Yamato, Duretz, Gapais, and Ledru [2707]
Auzemery, Yamato, Duretz, Willingshofer, Matenco, and Porkoláb [87], Yamato, Duretz, Basset, and Luisier [3779], Candioti, Duretz, and Schmalholz [501]
FEniCS FEniCS code
The FEniCS Project is a modern collection of open source software components directed at the automated solution of differential equations by finite element methods.
GAIA GAIA
GALE GALE
This code is hosted by CIG at https://geodynamics.org/cig/software/gale/ GALE was meant to become the Citcom of Long Term Tectonics at CIG. However, the LTT group summarised its status in 2009 as follows1 :
Rather logically only a handful of publications were produced with this code:
(G)TECTON GTECTON TECTON
Melosh and Raefsky [2314]
Melosh and Raefsky [2313]
Sabadini, Yuen, and Portney [2983]
Govers and Wortel [1276]
Govers and Wortel [1277]
Gurnis, Eloy, and Zhong [1353], Giunchi, Sabadini, Boschi, and Gasperini [1225], Zhong, Gurnis, and Moresi [3895]
Buiter, Govers, and Wortel [410]
Govers and Wortel [1278], Wijk [3709], Wijk and Blackman [3711]
Franco, Govers, and Wortel [1067], Liu and Bird [2119], Schmalzle, Dixon, Malservisi, and Govers [3068]
Wijk and Blackman [3710]
De Franco, Govers, and Wortel [836], De Franco, Govers, and Wortel [835]
Lafemina et al. [1941], Plattner, Malservisi, and Govers [2698]
Benthem and Govers [221], Plattner, Malservisi, Furlong, and Govers [2697]
Baes, Govers, and Wortel [96], Baes, Govers, and Wortel [97]
Plattner, Amelung, Baker, Govers, and Poland [2699], Warners-Ruckstuhl, Govers, and Wortel [3645]
Benthem, Govers, and Wortel [222]
Marketos, Govers, and Spiers [2233], Nijholt and Govers [2520]
George, Malservisi, Govers, Connor, and Connor [1152], Marketos, Spiers, and Govers [2232]
Özbakr, Govers, and Wortel [2589]
Govers, Furlong, Wiel, Herman, and Broerse [1280], Nijholt, Govers, and Wortel [2521], Herman, Furlong, and Govers [1459], Barjasteh [138]
Herman and Govers [1460]
Elefant Elefant code
ELLIPSIS ELLIPSIS code Section 3 of [2760] presents the evolutionary path which lead to this code.
Moresi, Dufour, and Mühlhaus [2404]
Moresi, Dufour, and Mühlhaus [2397], Wijns, Boschetti, and Moresi [3714] Mühlhaus, Moresi, and Čada [2436], Weinberg, Moresi, and Van der Borgh [3675] O’Neill and Moresi [2551], O’Neill, Moresi, Lenardic, and Cooper [2542]
Wijns [3715]
Wijns, Weinberg, Gessner, and Moresi [3713], O’Neill, Moresi, and Lenardic [2550], O’Neill, Moresi, and Jaques [2552]
O’Neill, Moresi, Müller, Albert, and Dufour [2544]
Moresi, Quenette, Lemiale, Mériaux, Appelbe, and Mühlhaus [2400], Gessner, Wijns, and Moresi [1197] Dyksterhuis, Rey, Mueller, and Moresi [932], O’Neill, Lenardic, Moresi, Torsvik, and Lee [2549]
O’Neill, Lenardic, Griffin, and O’Reilly [2545], Clark, Stegman, and Müller [644]
O’Neill, Lenardic, Jellinek, and Moresi [2548], Rey, Teyssier, and Whitney [2845]
Pysklywec, Ellis, and Gorman [2743]
Leng and Gurnis [2022], Rey, Teyssier, Kruckenberg, and Whitney [2844]
Leng, Gurnis, and Asimov [2019]
Zhang and Leng [3870]
Zhang, Li, Leng, and Gurnis [3872], Zhang, Leng, and Chen [3871]
Fantom Fantom code
Allken, Huismans, and Thieulot [35]
Allken, Huismans, Fossen, and Thieulot [37]
Erdos, huismans, Beek, and Thieulot [968], Thieulot, Steer, and Huismans [3435]
Erdos, huismans, and Beek [967]
Salazar-Mora, Huismans, Fossen, and Egydio-Silva [2989]
Erdős, Huismans, and Beek [969], Theunissen and Huismans [3418], Wolf and Huismans [3744]
Erdős, Huismans, Faccenna, and Wolf [971]
Theunissen and Huismans [3419], Wolf, Huismans, Braun, and X. [3743], Erdős, Huismans, and Faccenna [970], Theunissen, Huismans, Lu, and Riel [3420], Pichel, Huismans, Gawthorpe, Faleide, and Theunissen [2684], Pichel, Huismans, Gawthorpe, Faleide, and Theunissen [2683]
Pichel, Huismans, Gawthorpe, and Faleide [2682]
Lu, May, and Huismans [2162]
FDCON FDCON
Fluidity Fluidity code
Davies, Wilson, and Kramer [806]
Kramer, Wilson, and Davies [1927]
Garel, Goes, Davies, Davies, Kramer, and Wilson [1134], Voci, Davies, Goes, Kramer, and Wilson [3584]
Davies, Le Voci, Goes, Kramer, and Wilson [812], Jones, Davies, Campbell, Wilson, and Kramer [1718]
Hedjazian, Garel, Davies, and Kaminski [1447]
Alsaif, Garel, Gueydan, and Davies [43], Maunder, Prytulak, Goes, and Reagan [2263], Garel, Thoraval, Tommasi, Demouchy, and Davies [1136]
Suchoy, Goes, Maunder, Garel, and Davies [3340], Knight, Davies, and Capitanio [1880], Beall, Fagereng, Huw Davies, Garel, and Rhodri Davies [161], Duvernay, Davies, Mathews, Gibson, and Kramer [930], Garel and Thoraval [1135]
Cerpa, Sigloch, Garel, Heuret, Davies, and Mihalynuk [545], Chen, Davies, Goes, Suchoy, and Kramer [564], Chen, Davies, Goes, Suchoy, and Kramer [565]
Pilia et al. [2687]
I2(3)E(L)VIS, I3MG I2(3)(EL)VIS code
I3MG is described in the appendix of Faccenda and VanderBeek [989] (2023).
Gerya and Yuen [1181], Gerya and Yuen [1182], Gerya, Uken, Reinhardt, Watkeys, Maresch, and Clarke [1180]
Gerya, Yuen, and Maresch [1183], Gerya, Yuen, and Sevre [1184], Gerya, Perchuk, Maresch, and Willner [1178], Gerya, Uken, Reinhardt, Watkeys, Maresch, and Clarke [1192]
Burg and Gerya [439], Maresch and Gerya [2230], Stöckhert and Gerya [3329]
Buiter et al. [407], Gerya and Stöckhert [1170], Gorczyk, Gerya, Connolly, Yuen, and Rudolph [1259], Gerya, Connolly, Yuen, Gorczyk, and Capel [1174]
Gerya and Yuen [1171], Gorczyk, Gerya, Connolly, and Yuen [1258], Gerya and Burg [1172], Gorczyk, Guillot, Gerya, and Hattori [1261], Gorczyk, Willner, Gerya, Connolly, and Burg [1263]
Schmeling et al. [3069], Gerya, Connolly, and Yuen [1173], Ueda, Gerya, and Sobolev [3513], Faccenda, Gerya, and Chakraborty [984], Zhu, Gerya, Yuen, Honda, Yoshida, and Connolly [3923], Burg and Gerya [438], Castro and Gerya [534], Mishin, Gerya, Burg, and Connolly [2340], Nikolaeva, Gerya, and Connolly [2523], Gerya, Perchuk, and Burg [1196]
Gerya, Fossati, Cantieni, and Seward [1175], Burg et al. [441], Lin, Gerya, Tackley, Yuen, and Golabek [2082], Faccenda, Minelli, and Gerya [981], Li and Gerya [2067]
Nikolaeva, Gerya, and Marques [2522], Baumann, Gerya, and Connolly [152], Li, Gerya, and Burg [2061], Sizova, Gerya, Brown, and Perchuk [3180]
Duretz, Gerya, and May [916], Duretz, May, Gerya, and Tackley [918], Li, Xu, and Gerya [2060], Gerya [1169], Gerya and Meilick [1177], Blanco-Quintero, Gerya, Garcia-Casco, and Castro [289], Nikolaeva, Gerya, and Marques [2524], Golabek, Keller, Gerya, Zhu, Tackley, and Connolly [1250], Lin, Gerya, Tackley, Yuen, and Golabek [2083], Perchuk and Gerya [2640], Zhu, Gerya, Honda, Tackley, and Yuen [3926], Gerya [1194]
Crameri et al. [726], Duretz, Gerya, Kaus, and Andersen [915], Z. Li and Gerya [3841], Faccenda, Gerya, Mancktelow, and Moresi [985], Gorczyk, Hobbs, and Gerya [1262], Ueda, Gerya, and Burg [3512], Schenker, Gerya, and Burg [3044], Sizova, Gerya, and Brown [3179], Vogt, Gerya, and Castro [3588]
Li, Xu, Gerya, and Burg [2059], Naliboff, Billen, Gerya, and saunders [2485], Malatesta, Gerya, Crispini, Federico, and Capponi [2199], Dinther, Gerya, Dalguer, Mai, Morra, and Giardini [877], Dinther, Gerya, Dalguer, Corbi, Funiciello, and Mai [876], Zhu, Gerya, Tackley, and Kissling [3924], Dymkova and Gerya [933], Gerya, May, and Duretz [1176], Marques et al. [2243], Chen, Gerya, Zhang, Zhu, Duretz, and Jacoby [570], Chen, Gerya, Zhang, Aitken, Li, and Liang [571], Duretz and Gerya [914], Castro, Vogt, and Gerya [535], Liao, Gerya, and Wang [2070], Vogt, Castro, and Gerya [3586], Gerya [1193], Gerya [1189], Mikhailov et al. [2333], Ruh, Gerya, and Burg [2968], Schubert, Driesner, Gerya, and Ulmer [3103], Agrusta, Arcay, Tommasi, Davaille, Ribe, and Gerya [18]
Duretz, Gerya, and Spakman [917], Püthe and Gerya [2737], Vogt and Gerya [3585], Baitsch-Ghirardello, Gerya, and Burg [108], Liao and Gerya [2072], Sternai, Jolivet, Menant, and Gerya [3317], Manea, Leeman, Gerya, Manea, and Zhu [2213], Burov and Gerya [453], Gorczyk, Smithies, Korhonen, Howard, and Gromard [1260], Dinther, Mai, Dalguer, and Gerya [878], Marques, Cabral, Gerya, Zhu, and May [2241], Baitsch-Ghirardello, Stracke, Connolly, Nikolaeva, and Gerya [109], Golabek, Bourdon, and Gerya [1247], Gerya [1187], Gerya [1195], Gillmann and Tackley [1222], Sizova, Gerya, and Brown [3181], Li [2066]
Ueda, Willett, Gerya, and Ruh [3514], Ruh, Pourhiet, Agard, Burov, and Gerya [2969], Gerya, Stern, M.Baes, Sobolev, and Whattam [1179], Ruh, Pourhiet, Agard, Burov, and Gerya [2969], Koptev, Calais, Burov, Leroy, and Gerya [1905], Herrendörfer, Dinther, Gerya, and Dalguer [1485]
Koptev et al. [1907], Malatesta, Gerya, Crispini, Federico, and Capponi [2198], Sternai et al. [3320], Fischer and Gerya [1038], Mannu, Ueda, Willett, Gerya, and Strasser [2221], Huangfu, Wang, Cawood, Li, Fan, and Gerya [1571], Duretz, Agard, Yamato, Ducassou, Burov, and Gerya [913], Menant, Sternai, Jolivet, Guillou-Frottier, and Gerya [2318], Huangfu, Wang, Li, Fan, and Zhang [1573]
Mannu, Ueda, Willett, Gerya, and Strasser [2222], Koptev, Cloetingh, Burov, Francois, and Gerya [1906], Liao and Gerya [2073], Vogt, Matenco, and Cloetingh [3589], Shi, Wei, Li, Liu, and Liu [3147], Chen, Capitanio, Liu, and Gerya [569], Liao, Wang, Gerya, and Ballmer [2075], Huangfu, Wang, Fan, Li, and Zhou [1572]
Gorczyk, Mole, and Barnes [1257], Zhou, Li, Gerya, Stern, Xu, and Zhang [3917], Dal Zilio, Faccenda, and Capitanio [774], Maierová, Schulmann, and Gerya [2195], Gerya and Burov [1188], Vogt, Willingshofer, Matenco, Sokoutis, Gerya, and Cloetingh [3590], Herrendörfer, Gerya, and Dinther [1486], Dal Zilio, Dinther, Gerya, and Pranger [773], Liu et al. [2121], Liu and Li [2106], Yang, Li, Gerya, Xu, and Shi [3793]
Koptev, Beniest, Jolivet, and Leroy [1904], Li, Gerya, and Connolly [2064], Dal Zilio, Dinther, Gerya, and Avouac [772], Sizova, Hauzenberger, Fritz, Faryad, and Gerya [3182], Menant, Angiboust, and Gerya [2316], Lei, Li, and Liu [1992], Gülcher, Beaussier, and Gerya [1329], Zelst, Wollherr, Gabriel, Madden, and Dinther [3851], Huangfu, Li, Fan, and Shi [1570], Zhong and Li [3913], Van Dinther, Künsch, and Fichtner [3539], Liu and Chen [2094], Yang, Huangfu, and Zhang [3800]
Baes, Sobolev, Gerya, and Brune [99], Zhou, Li, Gerya, and Stern [3918], Schierjott, Thielmann, Rozel, Golabek, and Gerya [3046], Dai et al. [771], Chowdhury, Chakraborty, Gerya, Cawood, and Capitanio [612], Ruh [2970], Menant, Angiboust, Gerya, Lacassin, Simoes, and Grandin [2317], Chen, Liu, Capitanio, Gerya, and Li [572], Munch, Gerya, and Ueda [2447], Tang, Chen, Meng, and Wu [3396], Gülcher, Gerya, Montési, and Munch [1328], Brizzi, Zelst, Funiciello, Corbi, and Dinther [377], Peral et al. [2636], Petrini, Gerya, Yarushina, Dinther, Connolly, and Madonna [2660], Perchuk, Gerya, Zakharov, and Griffin [2637], Baes, Sobolev, Gerya, and Brune [101], D’Acquisto, Dal Zilio, Molinari, Kissling, Gerya, and Dinther [765], Sternai [3318], Li et al. [2035], Yoshida, Saito, and Yoshizawa [3818], D’Acquisto, Dal Zilio, Molinari, Kissling, Gerya, and Dinther [765], Ishii and Wallis [1629]
Pei, Li, and Shi [2626], Chowdhury, Chakraborty, and Gerya [611], Yan, Chen, Xiong, Wan, and Xu [3782], Qing, Liao, Li, and Gao [2754], Baes, Sobolev, Gerya, Stern, and Brune [100], Balázs et al. [121], Zhou and Wada [3919], Kerswell, Kohn, and Gerya [1820], Behr, Gerya, Cannizzaro, and Blass [202], Cui, Li, and Liu [752], Sternai et al. [3319], Perchuk, Gerya, Zakharov, and Griffin [2638], Angiboust, Menant, Gerya, and Oncken [54], Lo Bue, Faccenda, and Yang [2124], Gerya, Bercovici, and Becker [1190], Brizzi et al. [376]
Zhong and Li [3914], Zakharov, Lubnina, Stepanova, and Gerya [3843], Corradino, Balazs, Faccenna, and Pepe [710], Munch, Ueda, Schnydrig, May, and Gerya [2448], Koulakov, Schlindwein, Liu, Gerya, Jakovlev, and Ivanov [1924], Yan, Chen, Zuza, Tang, Wan, and Meng [3783], Balázs, Faccenna, Gerya, Ueda, and Funiciello [119], Van Agtmaal, Van Dinther, Willingshofer, and Matenco [3524], Shen, Liao, and Zhang [3141], Liao, Li, Gao, Shen, Qing, and Wu [2074], Dong et al. [885], Jiang, Mao, and Hu [1705] Pang, Zhang, Shi, and Gerya [2599], Balázs, Gerya, May, and Tari [120]
Wu, Liao, Qing, and Shen [3758], Zhong and Li [3912], Pang, Liao, Ballmer, and Li [2598], Andrić-Tomašević, Koptev, Maiti, Gerya, and Ehlers [50], Perchuk, Zakharov, Gerya, and Griffin [2639], Izumi, Hirauchi, and Yoshida [1645], Boonma, Garca-Castellanos, Jiménez-Munt, and Gerya [312], Liu and Gerya [2105], Stanković, Gerya, Cvetkov, and Cvetković [3266], Cheng, Zhang, Lin, Ding, and Zhang [581], Wang, Li, and Huangfu [3632], Yang, Mitchell, Spencer, Sun, Zhang, and Zhao [3790], Xue, Muirhead, Moucha, Wright, and Scholz [3768], Gülcher, Yu, and Gerya [1333], Sanhueza, Yáñez, Buck, Araya Vargas, and Veloso [3011], Faccenda and VanderBeek [989]
Xiang et al. [3762], Fu and Li [1093], Chen, Zhu, Yuan, and Chen [567], Sizova, Hauzenberger, Fritz, and Gerya [3183], QIU et al. [2755], Qing, Liao, and Brune [2753]
I3MG (related to I3(EL)VIS) I3MG code
LaMEM LaMEM code
Schmeling et al. [3069]
Kaus, Mühlhaus, and May [1772]
Lechmann, May, Kaus, and Schmalholz [1980]
May [2266]
Lechmann, Schmalholz, Hetényi, May, and Kaus [1981], Collignon, Kaus, May, and fernandez [668], Baumann, Kaus, and Popov [153], Fernandez and Kaus [1023], Fernandez and Kaus [1024]
Pusok and Kaus [2731], Fernandez and Kaus [1025], Collignon, Fernandez, and Kaus [667]
Kaus et al. [1776], Collignon, Yamato, Castelltort, and Kaus [669]
B.J.P. Kaus and Popov [91], Reuber, Kaus, Popov, and Baumann [2835], Reuber, Popov, and Kaus [2836]
Eichheimer et al. [943], Howell, Olive, Ito, Behn, Escartin, and Kaus [1560], Pusok and Stegman [2732], Wang, Kaus, Zhao, Yang, and Li [3629]
Eichheimer et al. [942], Spitz, Schmalholz, Kaus, and Popov [3256], Piccolo, Kaus, White, Palin, and Reuber [2681], Pusok and Stegman [2733], Yang et al. [3792], Spitz, Bauville, Epard, Kaus, Popov, and Schmalholz [3255], Reuber, Holbach, Popov, Hanke, and Kaus [2838]
Sun et al. [3346]
Toffol, Yang, Pennacchioni, Faccenda, and Scambelluri [3451], Almeida, Riel, Rosas, Duarte, and Kaus [39], Moulas, Kaus, and Jamtveit [2428], Pusok, Stegman, and Kerr [2734], Spang, Baumann, and Kaus [3242], Liu, Sobolev, Babeyko, and Pons [2110], Husson et al. [1608], Rojas-Agramonte et al. [2929]
Gao, Chen, Yang, and Wang [1131], Riel et al. [2898], Yang, Zhao, and Li [3791]
Duarte, Riel, Rosas, Popov, Schuler, and Kaus [900]
LAPEX2D,LAPEX3D (LAgrangian Particle EXplicit, based on the prototype code PAROVOZ) LAPEX code
Sobolev, Petrunin, Garfunkel, and Babeyko [3198], Babeyko and Sobolev [95], Sobolev and Babeyko [3200]
Buiter et al. [407], Babeyko, Sobolev, Vietor, Oncken, and Trumbull [94], Sobolev, Babeyko, Koulakov, and Oncken [3201], Petrunin and Sobolev [2666]
Petrunin and Sobolev [2662], Babeyko and Sobolev [93], Schmeling et al. [3069]
Sobolev et al. [3199]
LARGE, PyGmod PyGmod
LARGE 0.2.0 (Lithosphere AsthenospheRe Geodynamic Evolution) is a geodynamic modelling Python package that implements a flexible and user friendly tool for the geodynamic/modelling community. It simulates 2D large scale geodynamic processes by solving the conservation equations of mass, momentum, and energy by a finite difference method with the moving tracers technique. LARGE uses advanced modern numerical libraries and algorithms but unlike common simulation code written in Fortran or C this code is written entirely in Python.
LITMOD2D/3D
Mandyoc
MARC
MILAMIN, MILAMIN_VEP MILAMIN MILAMIN_VEP MVEP2
MILAMIN is a finite element method implementation in native MATLAB that is capable of doing one million degrees of freedom per minute on a modern desktop computer. This includes pre-processing, solving, and post-processing. The MILAMIN strategies and package are applicable to a broad class of problems in Earth science. http://milamin.org/
Dabrowski, Krotkiewski, and Schmid [766], Schmid, Dabrowski, and Krotkiewski [3076]
Golabek, Gerya, Kaus, Ziethe, and Tackley [1246], Kaus, Liu, Becker, Yuen, and Shi [1779]
Krotkiewski and Dabrowski [1931], Kaus [1770], Deubelbeiss, Kaus, and Connolly [861]
Yamato, Kaus, Mouthereau, and Castelltort [3778]
Gerault, Becker, Kaus, Faccenna, Moresi, and Husson [1154], Ruh, Kaus, and Burg [2972], Thielmann and Kaus [3421]
Schmalholz and Podlachikov [3053]
Johnson, Brown, Kaus, and VanTongeren [1711]
Lu, Kaus, Zhao, and Zheng [2160], Gérault, Husson, Miller, and Humphreys [1155], Baumann and Kaus [154], Thielmann, Kaus, and Popov [3422], Mulyukova, Steinberger, Dabrowski, and Sobolev [2446]
Jaquet, Duretz, and Schmalholz [1687], Marques and Kaus [2242], Cao, Kaus, and Paterson [503]
Duretz, Souche, de Borst, and Le Pourhiet [922], Jaquet and Schmalholz [1688], Jaquet, Duretz, Grujic, Masson, and Schmalholz [1686], Cosentino, Morgan, and Jordan [715], Jensen [1702], Ran et al. [2781], Chenin, Schmalholz, Manatschal, and Karner [583]
Siravo et al. [3178], Bauville and Baumann [159], Souche, Galland, Haug, and Dabrowski [3234], Andrés-Martnez, Pérez-Gussinyé, Armitage, and Morgan [48]
Humair, Bauville, Epard, and Schmalholz [1592], Pérez-Gussinyé, Andrés-Martnez, Araújo, Xin, Armitage, and Morgan [2644]
Liu, Liu, Morgan, Xu, and Chen [2101], Raghuram, Pérez-Gussinyé, Andrés-Martnez, Garca-Pintado, Araujo, and Morgan [2772]
PARAVOZ/FLAMAR/FLAC FLAC PARAVOZ FLAMAR
The FLAMAR code (Burov et al. , 2001) is based on the F.L.A.C. (Fast Lagrangian Analysis of Continua) algorithm developed by Cundall and Board (1988) and Cundall (1989) [756]. It is modified after the PARA(O)VOZ code from Poliakov et al. (1993) [2710] by several other studies such as Le Pourhiet (PhD thesis, 2004) and Yamato (PhD thesis, 2006).
geoflac code at https://github.com/tan2/geoflac used in [1255]
Poliakov, Cundall, Podlachikov, and Lyakhovsky [2710], Zhang, Hobbs, and Jessell [3875]
Wilson and Zhang [3734]
Zhang, Hobbs, Ord, and Mühlhaus [3876]
Gerbault, Poliakov, and Daignieres [1161]
Lavier, Buck, and Poliakov [1968]
Burov, Jolivet, Le Pourhiet, and Poliakov [455], Burov and Poliakov [456]
Babeyko, Sobolev, Trumbull, Oncken, and Lavier [92], Cloetingh et al. [651], Koons, Zeitler, Chamberlain, Craw, and Meltzer [1899]
Hall, Gurnis, Sdrolias, Lavier, and Mueller [1374], Gerbault, Henrys, and Davey [1160], Upton, Koons, and Eberhart-Phillips [3518]
Gurnis, Hall, and Lavier [1342], Gerbault and Willingshofer [1162], Toussaint, Burov, and Avouac [3469], Tirel, Brun, and Burov [3447], Cloetingh et al. [652], Toussaint, Burov, and Jolivet [3470]
Burov and Guillou-Frottier [454]
Burov, Watts, et al. [463], Le Pourhiet, Mattioni, and Moretti [1978], Le Pourhiet, Gurnis, and Saleeby [1977]
Nagel and Buck [2458], Yamato, Agard, Burov, Pourhiet, Jolivet, and Tiberi [3770], Burov and Toussaint [457], Chemenda [561]
Yamato, Burov, Agard, Le Pourhiet, and Jolivet [3772], Tirel, Brun, and Burov [3446], Burov and Yamato [458], González et al. [1256]
Gerbault, Cembrano, Mpodozis, Farias, and Pardo [1164], Yamato, Husson, Braun, Loiselet, and Thieulot [3775], Burov and Cloetingh [467], Tirel, Gautier, Hinsbergen, and Wortel [3449], Yamato, Mouthereau, and Burov [3776], Bialas and Buck [264]
Burov and Cloetingh [451]
Angiboust, Wolf, Burov, Agard, and Yamato [53], Gerbault, Cappa, and Hassani [1157], Tan, Lavier, van Avendonk, and Heuret [3393], Guillou-Frottier et al. [1327], Gerbault [1156],
Watremez et al. [3653], François, Burov, Meyer, and Agard [1069], Tirel, Brun, Burov, Wortel, and Lebedev [3448], Choi, Buck, Lavier, and Petersen [605]
Francois, Burov, Agard, and Meyer [1068], Ganne, Gerbault, and Block [1130], Burov et al. [459], Burov, Francois, Yamato, and Wolf [452]
Wu, Lavier, and Choi [3757], Geoffroy, Burov, and Werner [1151], Dias, Lavier, and Hayman [868]
Persaud, Tan, Contreras, and Lavier [2651]
Gerbault, Schneider, Reverso-Peila, and Corsini [1165]
Sagazan and Olive [2987]
Gómez-Romeu, Jammes, Ducoux, Lescoutre, Calassou, and Masini [1255]
PINK3D
von Tscharner and Schmalholz [3592]
PLASTI
ProSpher 3D ProSpher 3D
Spectral method for modeling mantle convection with LVV has been developed. The method is stable under high viscosity contrast (5 orders of magnitudes). Benchmarks confirm reliability of the method in application to mantle dynamics.
pTatin2D/pTatin3D: A nice succinct description of the code is given in Appendix B of [1979]. pTatin3D
Philippe [2671]
May, Brown, and Le Pourhiet [2269]
May, Brown, and Le Pourhiet [2267]
Le Pourhiet, May, Huille, Watremez, and Leroy [1979], Mao, Gurnis, and May [2228]
Jourdon, Le Pourhiet, Petit, and Rolland [1723], Le Pourhiet, Chamot-Rooke, Delescluse, May, Watremez, and Pubellier [1976]
Jourdon, Le Pourhiet, F, and Masini [1722]
Duclaux, Huismans, and May [906], Jourdon, Le Pourhiet, Mouthereau, and May [1725]
Jourdon, Kergaravat, Duclaux, and Huguen [1724], Ioannidi, Le Pourhiet, Agard, Angiboust, and Oncken [1626]
Larvet, Le Pourhiet, and Agard [1959], Ioannidi, Bogatz, and Reber [1625], Wolf, Huismans, Wolf, Rouby, and May [3742]
RBF Radial Basis Functions
Arrial, Flyer, Wright, and Kellogg [72]
See also poster by Yuen
RHEA RHEA
SAMOVAR
Elesin, Gerya, Artemieva, and Thybo [944]
SANGRE SANGRE code SANGRE stands for Stress ANalysis of Geological REgions.
Sepran Sepran code
Sepran [3115] is a Fortran-based multi-purpose Finite Element package developed by SEPRA engineering company in cooperation with the department of applied mathematics of Delft Technical University starting in the early 1980s. The package has been used for 25 yr in the education and research program at Utrecht University and many students have used the package in their work dealing with numerical modelling in geodynamics. Sepran is available for a range of platforms including Linux/Unix and Microsoft Windows. It contains a mesh generator with a flexible scripting interface for general 2-D and 3-D mesh configurations.
The package provides tools for a range of applications in science and engineering, including second order elliptic, parabolic and hyperbolic equations, suitable for mechanical problems dealing with linear elasticity and for flow problems for both incompressible and compressible viscous media.
Berg, Keken, and Yuen [250]
De Smet, Berg, and Vlaar [839], Van Keken and Ballentine [3553]
Smet, Berg, and Vlaar [3188]
De Smet, Berg, and Vlaar [838], Van Hunen, Van Den Berg, and Vlaar [3545]
Drury, Van Roermund, Carswell, De Smet, Van Den Berg, and Vlaar [894], Van Hunen, Van den Berg, and Vlaar [3546], Schott, Van den Berg, and Yuen [3083]
McNamara, Keken, and Karato [2300], Ciskova, van Hunen, van den Berg, and Vlaar [631], Hunen, Berg, and Vlaar [1594], Hunen, Berg, and Vlaar [1595], Van Keken, Kiefer, and Peacock [3555], Van den Berg, Yuen, and Allwardt [3530], Schott, Van den Berg, and Yuen [3084]
McNamara, Keken, and Karato [2301], Van Thienen, Van Den Berg, De Smet, Van Hunen, and Drury [3556], Van Keken, Ballentine, and Hauri [3554]
Thienen, Berg, and Vlaar [3427], Thienen, Berg, and Vlaar [3425], Thienen, Vlaar, and Berg [3430], van den Berg, Yuen, and Rainey [3532], van Hunen, van den Berg, and Vlaar [3547]
Thienen, Vlaar, and Berg [3429], Segal and Praagman [3115], Berg, Rainey, and Yuen [245], Lin and Keken [2087]
Lin and van Keken [2085], Lin and van Keken [2086], Abers, Keken, Kneller, Ferris, and Stachnik [2]
Thienen [3426], Čžková, Hunen, and van den Berg [640], Brandenburg and Keken [340], Brandenburg and Keken [339], Kneller, van Keken, Katayama, and Karato [1876]
Plank and Keken [2694], Brandenburg, Hauri, Keken, and Ballentine [338], Kneller and van Keken [1877], Hunen and Berg [1598]
Vatteville, van Keken, Limare, and Davaille [3563], Summeren, Berg, and Hilst [3345]
Berg, Hoop, Yuen, Duchkov, Hilst, and Jacobs [244], Syracuse, Keken, and Abers [3349], Vries, Berg, and Westrenen [3595], Berg, De Hoop, Yuen, Duchkov, Hilst, and Jacobs [243], van den Berg, Yuen, Beebe, and Christiansen [3531]
Keken, Hacker, Syracuse, and Abers [1792], Jacobs and van den Berg [1653], Berg, Yuen, Jacobs, and Hoop [247]
Bengtson and van Keken [218], Chertova, Geenen, Berg, and Spakman [587], Van Keken, Kita, and Nakajima [3552]
Androvicova, Čížková, and van den Berg [52], Čížková and Bina [635], Bossmann and Keken [321]
Chertova, Spakman, Geenen, Berg, and Hinsbergen [588], Morishige and Keken [2418], Chertova, Spakman, Berg, and Hinsbergen [590]
van den Berg, Segal, and Yuen [3526], Čížková and Bina [636], Morishige [2419]
Ciskova, van den Berg, and Jacobs [630], Wei, Wiens, Keken, and Cai [3666]
Spakman, Chertova, van den Berg, and van Hinsbergen [3237], Chertova, Spakman, and Steinberger [589]
Zhao, De Vries, Berg, Jacobs, and Westrenen [3881], Berg, Yuen, Umemoto, Jacobs, and Wentzcovitch [249], Capella, Spakman, Hinsbergen, Chertova, and Krijgsman [506], Keken, Wada, Sime, and Abers [1794], Čžková and Bina [639]
Morishige and Kuwatani [2416], Jones, Maguire, Keken, Ritsema, and Koelemeijer [1719]
Pokornỳ, Čžková, and van den Berg [2709], Morishige and Tasaka [2417]
Pokornỳ, Čžková, Bina, and Berg [2708]
SHELLS SHELLS code It is a thin-shell program for modeling neotectonics of regional or global lithosphere with faults
Kong and Bird [1890], Negredo, Bird, Sanz de Galdeano, and Buforn [2500]
SISTER SISTER code
SLIM3D SLIM3D code
Popov and Sobolev [2720]
Quinteros, Sobolev, and Popov [2769]
Brune, Popov, and Sobolev [387]
Brune [385], Heine and Brune [1453], Koopmann, Brune, Franke, and Breuer [1901], Brune, Heine, Pérez-Gussinyé, and Sobolev [392]
Clift, Brune, and Quinteros [648]
Baes, Sobolev, and Quinteros [102], Tutu, Steinberger, Sobolev, Rogozhina, and Popov [3511], Tutu, Sobolev, Steinberger, Popov, and Rogozhina [3510]
Sobolev and Brown [3202]
SLOMO SLOMO code
SNAC SNAC code SNAC (StGermaiN Analysis of Continua) is an updated Lagrangian explicit finite difference code for modeling a finitely deforming elasto-visco-plastic solid in 3D. The code is hosted at https://geodynamics.org/cig/software/snac/ .
Choi, Lavier, and Gurnis [606] Choi and Gurnis [604] Quenette and Lavier [2758] Choi, Seeber, Steckler, and Buck [607]
SPECFEM3D SPECFEM3D code The Cartesian version simulates acoustic (fluid), elastic (solid), coupled acoustic/elastic, poroelastic or seismic wave propagation in any type of conforming mesh of hexahedra (structured or not.) It can, for instance, model seismic waves propagating in sedimentary basins or any other regional geological model following earthquakes. It can also be used for non-destructive testing or for ocean acoustics.
It is an open source code hosted by the CIG at https://geodynamics.org/cig/software/specfem3d/
Komatitsch, Tsuboi, Tromp, Levander, and Nolet [1888]
MICROFEM/Sopale MICROFEM code Sopale code For an explanation of nested version of the numerical model, see appendix A of Wenker and Beaumont [3691].
Willett, Beaumont, and Fullsack [3719]
Willett and Beaumont [3723], Beaumont, Fullsack, and Hamilton [167], Beaumont and Quinlan [177]
Beaumont, Kamp, Hamilton, and Fullsack [172], Beaumont, Ellis, Hamilton, and Fullsack [164], Waschbusch and Beaumont [3652]
Ellis, Beaumont, Jamieson, and Quinlan [951], Jamieson, Beaumont, Fullsack, and Lee [1671], Waschbusch, Batt, and Beaumont [3651]
Willett [3722], Willett [3720], Ellis, Beaumont, and Pfiffner [952], Ellis and Beaumont [950], Beaumont, Ellis, and Pfiffner [165], Percival, Lucas, Jones, Beaumont, Eaton, and Rivers [2642]
Pysklywec, Beaumont, and Fullsack [2741], Beaumont, Munoz, Hamilton, and Fullsack [174], Pfiffner, Ellis, and Beaumont [2669]
Huismans and Beaumont [1583], Pysklywec, Beaumont, and Fullsack [2740]
Huismans and Beaumont [1582], Vanderhaeghe, Medvedev, Fullsack, Beaumont, and Jamieson [3559], Willett and Pope [3725], Pysklywec, Mitrovica, and Ishii [2745], Buiter and Pfiffner [412], Wissing, Ellis, and Pfiffner [3738]
Beaumont, Jamieson, Nguyen, and Medvedev [171], Pysklywec and Cruden [2742], Pysklywec and Beaumont [2739], Ellis, Schreurs, and Panien [956], Gemmer, Ings, Medvedev, and Beaumont [1148], Jamieson, Beaumont, Medvedev, and Nguyen [1673]
Gemmer, Beaumont, and Ings [1147], Huismans, Buiter, and Beaumont [1586]
Pysklywec [2738], Selzer [3118], Panien, Buiter, Schreurs, and Pfiffner [2600], Jamieson, Beaumont, Nguyen, and Grujic [1675], Beaumont, Nguyen, Jamieson, and Ellis [175], Culshaw, Beaumont, and Jamieson [754], Cruden, Nasseri, and Pysklywec [743]
Huismans and Beaumont [1585], Currie, Beaumont, and Huismans [760], Morency, Huismans, Beaumont, and Fullsack [2391], Selzer, Buiter, and Pfiffner [3119], Buiter and Torsvik [421], Jamieson, Beaumont, Nguyen, and Culshaw [1674], Shaw and Pysklywec [3139]
Selzer, Buiter, and Pfiffner [3117], Warren, Beaumont, and Jamieson [3648], Warren, Beaumont, and Jamieson [3649], Göğüş and Pysklywec [1243], Buiter, Huismans, and Beaumont [411], Huismans and Beaumont [1584], Currie, Huismans, and Beaumont [763]
Keppie, Currie, and Warren [1817], Beaumont, Jamieson, Butler, and Warren [169], Buiter, Pfiffner, and Beaumont [413], Gradmann, Beaumont, and Albertz [1286], Simon, Huismans, and Beaumont [3166]
Albertz, Beaumont, Shimeld, Ingsand, and Gradmann [26], Albertz and Beaumont [24], Gray and Pysklywec [1294], Pysklywec, Gogus, Percival, Cruden, and Beaumont [2744], Albertz, Beaumont, and Ings [25], Jamieson, Beaumont, Warren, and Nguyen [1677], Ings and Beaumont [1624], Ings and Beaumont [1623]
Currie and Beaumont [759], Butler, Veaumont, and Jamieson [480], Huismans and Beaumont [1581], Jamieson and Beaumont [1668]
Gray and Pysklywec [1295], Gray and Pysklywec [1296], Komut, Gray, Pysklywec, and Gogus [1889], Gradmann and Beaumont [1284], Jammes and Huismans [1678], Allen and Beaumont [32], Gradmann, Beaumont, and Ings [1287], Goteti, Ings, and Beaumont [1267], Beaumont and Ings [168]
Butler, Beaumont, and Jamieson [478], Chenin and Beaumont [582] Fillon, Huismans, and Beek [1033], Fillon, Huismans, Beek, and Muñoz [1034] Goteti, Beaumont, and Ings [1266], Gray and Pysklywec [1297] Kneller, Albertz, Karner, and Johnson [1878], Nilfouroushan, Pysklywec, Cruden, and Koyi [2526] Krystopowicz and Currie [1932]
Gogus [1242], Jammes, Huismans, and Muñoz [1679], Huismans and Beaumont [1587], Butler, Beaumont, and Jamieson [479]
Allen and Beaumont [30], Butler, Beaumont, and Jamieson [477], Heron, Pysklywec, and Stephenson [1468], Currie, Ducea, DeCelles, and Beaumont [761]
Liu and Currie [2107], Allen and Beaumont [31], Kelly, Butler, and Beaumont [1811], Heron, Pysklywec, and Stephenson [1479], Heron and Pysklywec [1476], Heron, Pysklywec, and Stephenson [1478]
Wenker and Beaumont [3691], Wenker and Beaumont [3690], Heron, Pysklywec, and Stephenson [1477]
Li et al. [2056], Beucher and Huismans [258], Kelly, Beaumont, and Butler [1812]
Gün, Pysklywec, Göğüş, and Topuz [1334], Lu and Huismans [2161], Wang, Currie, and DeCelles [3618]
Gün, Pysklywec, Göğüş, and Topuz [1336], Kelly, Beaumont, and Jamieson [1813]
Liu, Wagner, Currie, and Caddick [2118]
STAG3D/StagYY STAG3D code STAGYY code
Tackley [3360]
Schubert and Tackley [3094]
Moore, Schubert, and Tackley [2383], Thompson and Tackley [3438]
Tackley [3359], Tackley [3364], Tackley [3367], Tackley [3369]
Tackley [3362]
Farnetani, Legras, and Tackley [1012], Tackley [3368], Tackley and Xie [3378]
Tackley and Xie [3381]
Xie and Tackley [3765], Xie and Tackley [3764], Nakagawa and Tackley [2464], Nakagawa and Tackley [2473] Nakagawa and Tackley [2466], Schubert, Masters, Olson, and Tackley [3100], Yoshida and Ogawa [3817]
Grigné, Labrosse, and Tackley [1307], Farnetani and Samuel [1011] Nakagawa and Tackley [2463], Nakagawa and Tackley [2472] Nakagawa and Buffett [2461], Yoshida and Ogawa [3816]
Mittelstaedt and Tackley [2349]
Grigné, Labrosse, and Tackley [1308], Grigné, Labrosse, and Tackley [1309], Hernlund and Tackley [1464], Tackley, Nakagawa, and Hernlund [3374]
Deschamps and Tackley [856], Hernlund, Tackley, and Stevenson [1465] Hernlund and Tackley [1463], Samuel and Tackley [2999] Nakagawa and Tackley [2471], Tackley [3357], Van Heck and Tackley [3540]
Deschamps and Tackley [857], Nakagawa, Tackley, Deschamps, and Connolly [2475], Keller and Tackley [1803]
Deschamps, Tackley, and Nakagawa [858], Nakagawa and Tackley [2469] Morishige, Honda, and Tackley [2415], Samuel, Tackley, and Evonuk [3000], Nakagawa, Tackley, Deschamps, and Connolly [2476]
Rolf and Tackley [2932], Golabek, Keller, Gerya, Zhu, Tackley, and Connolly [1250], Cammarano, Tackley, and Boschi [495] Nakagawa and Tackley [2465], Deschamps, Kaminski, and Tackley [850]
Rolf, Coltice, and Tackley [2930], Crameri, Tackley, Meilick, Gerya, and Kaus [725], Coltice, Seton, Rolf, Müller, and Tackley [679], Deschamps, Yao, Tackley, and Sanchez-Valle [860], Deschamps, Cobden, and Tackley [849], Armann and Tackley [63], Nakagawa, Tackley, Deschamps, and Connolly [2477], Ulvrová, Labrosse, Coltice, Råback, and Tackley [3516]
Ruedas, Tackley, and Solomon [2967], Ruedas, Tackley, and Solomon [2966], Tackley, Ammann, Brodholt, Dobson, and Valencia [3371], Nakagawa and Tackley [2467], Moore and Webb [2385], Morishige and Honda [2420]
Yao, Deschamps, Lowman, Sanchez-Valle, and Tackley [3803], Crameri and Tackley [723], Leone, Tackley, Gerya, May, and Zhu [2028], Rolf, Coltice, and Tackley [2934], Coltice, Rolf, and Tackley [670], Bello, Coltice, Rolf, and Tackley [213], Li, Deschamps, and Tackley [2052], Rozel, Besserer, Golabek, Kaplan, and Tackley [2958], Nakagawa and Tackley [2468]
Bello, Coltice, Tackley, Müller, and Cannon [214], Deschamps, Li, and Tackley [852], Li, Deschamps, and Tackley [2051], Nakagawa, Nakakuki, and Iwamori [2462], Petersen, Stegman, and Tackley [2656]
Sim, Stegman, and Coltice [3161], Crameri and Tackley [724], Atkins, Valentine, Tackley, and Trampert [79], Kankanamge and Moore [1750]
Coltice, Gerault, and Ulvrova [672], Petersen, Stegman, and Tackley [2657], Rozel, Golabek, Jain, Tackley, and Gerya [2959], Ballmer, Houser, Hernlund, Wentzcovitch, and Hirose [130], Patočka, Čadek, Tackley, and Čžková [2610], Crameri, Lithgow-Bertelloni, and Tackley [731], Ruedas and Breuer [2965]
Guerrero, Lowman, Deschamps, and Tackley [1317], Coltice and Shephard [680], Bocher, Fournier, and Coltice [293], Coltice, Larrouturou, Debayle, and Garnero [676], Arnould, Coltice, Flament, Seigneur, and Müller [67], Crameri [727], Crameri and Lithgow-Bertelloni [730], Langemeyer, Lowman, and Tackley [1951], Deschamps, Rogister, and Tackley [853], Rolf, Steinberger, Sruthi, and Werner [2935], Rolf and Pesonen [2931], Rolf, Capitanio, and Tackley [2933], Khan et al. [1826], Furst, Peyret, Chery, and Mohammadi [1118]
Guerrero, Lowman, and Tackley [1318], Arnould, Ganne, Coltice, and Feng [69], Deschamps and Li [851], Patočka, Čžková, and Tackley [2611], Coltice, Husson, Faccenna, and Arnould [675], Crameri, Conrad, Montési, and Lithgow-Bertelloni [729], Ulvrova, Coltice, Williams, and Tackley [3515], Gillooly, Coltice, and Wolf [1223], Jain, Rozel, and Tackley [1665], Jain, Rozel, Tackley, Sanan, and Gerya [1666]
Langemeyer, Lowman, and Tackley [1950], Gülcher, Gebhardt, Ballmer, and Tackley [1331], Yan, Ballmer, and Tackley [3781], Arnould, Coltice, Flament, and Mallard [68], Ribe, Tackley, and Sanan [2864], Grima, Lithgow-Bertelloni, and Crameri [1311], Schierjott, Rozel, and Tackley [3045], Lourenço, Rozel, Ballmer, and Tackley [2139], Bolrão et al. [302], Karlsson, Cheng, Crameri, Rolf, Uppalapati, and Werner [1761], Uppalapati, Rolf, Crameri, and Werner [3517]
Rodriguez, Arnould, Coltice, and Soret [2920], Langemeyer, Lowman, and Tackley [1949], Meier, Bower, Lichtenberg, Tackley, and Demory [2310], Guerrero, Lowman, and Tackley [1316], Gülcher, Ballmer, and Tackley [1330]
Li et al. [2054], Huang, Li, and Zhao [1569], Adams, Stegman, Smrekar, and Tackley [7], Basu Sarkar and Moore [148], Langemeyer, Lowman, and Tackley [1952], Gülcher, Golabek, Thielmann, Ballmer, and Tackley [1332], Borgeat and Tackley [314]
Qu, Zhu, Ji, Xie, Zeng, and Zhang [2756], Tian, Tackley, and Lourenço [3442], Li, Zhang, Li, Shi, and Zhao [2053], Adams, Stegman, Mohammadzadeh, Smrekar, and Tackley [6], Guerrero, Deschamps, Li, Hsieh, and Tackley [1319]
Javaheri, Lowman, and Tackley [1698]
StreamV StreamV code
SubMar SubMar code
Marotta, Spelta, and Rizzetto [2235]
Marotta and Spalla [2234]
Roda, Marotta, and Spalla [2916]
Roda, Spalla, and Marotta [2918]
Regorda, Marotta, and Spalla [2822]
Regorda, Roda, Marotta, and Spalla [2825]
Marotta, Roda, Conte, and Spalla [2238]
Roda, Regorda, Spalla, and Marotta [2917]
Roda, Zucali, Regorda, and Spalla [2919], Regorda, Lardeaux, Roda, Marotta, and Spalla [2824]
Regorda, Spalla, Roda, Lardeaux, and Marotta [2826]
Bollino, Regorda, Sabadini, and Marotta [301]
Sulec Sulec code
https://www.susannebuiter.eu/sulec.html
Sulec is a 2D/3D arbitrary Lagrangian Eulerian finite-element code developed by Susanne Buiter and Susan Ellis. It solves the equation for conservation of momentum for an incompressible fluid combined with the heat equation. Pressure is calculated as mean stress following an Uzawa iterative penalty formulation (Pelletier et al. (1989) [2627]). Materials are tracked with tracers which are advected with a 2nd-order Runge-Kutta scheme. A true free surface is obtained by a slight vertical stretch of the Eulerian mesh to accommodate surface displacements and the effects of surface processes (Fullsack 1995[1113]). Sulec includes a stabilization term that suppresses numerical overshoot of isostatic restoring forces at interfaces with strong density contrasts (Kaus et al. (2010) [1772]; Quinquis et al. (2011) [2767]). The mechanical and thermal equations are solved using the direct sparse solver PARDISO (Schenk and Gaertner (twothousandfour) [3043]).
Not completely up to date (see website)
Quinquis, Buiter, and Ellis [2767], Ellis, Little, Wallace, Hacker, and Buiter [954]
Buiter [408], Tetreault and Buiter [3412], Crameri et al. [726], Grigull, Ellis, Little, Hill, and Buiter [1310]
Ghazian and Buiter [1200]
Naliboff and Buiter [2482]
Zwaan, Scheurs, Naliboff, and Buiter [3940], Ellis, Williams, Ristau, Reyners, Eberhart-Phillips, and Wallace [949]
Naliboff, Buiter, Péron-Pinvidic, Osmundsen, and Tetreault [2486]
Tetreault and Buiter [3413], Fagereng, Diener, Ellis, and Remitti [1004], Webber, Ellis, and Fagereng [3662]
Ellis, Ghisetti, Barnes, Boulton, Fagereng, and Buiter [955], Biemiller, Ellis, Mizera, Little, Wallace, and Lavier [266]
Peron-Pinvidic and Naliboff [2647]
Peron-Pinvidic, Fourel, and Buiter [2645]
TDPOIS TDPOIS code
The numerics are explained in [1554] and the theory in [1546].
TERRA TERRA code The computational grid is based on a projection of the regular icosahedron onto a sphere and successive dyadic refinements, see Baumgardner and Frederickson [156]. Concentric copies of such spherical layers of nodes build the domain in radial direction. The first main improvement was being parallelised Bunge and Baumgardner [432]. Particles were added in Stegman, Richards, and Baumgardner [3275].
Baumgardner [157]
Baumgardner [155]
Glatzmaier [1226]
Tackley, Stevenson, Glatzmaier, and Schubert [3376]
Tackley, Stevenson, Glatzmaier, and Schubert [3377]
Bunge and Baumgardner [432]
Bunge and Richards [434]
Bunge, Richards, Lithgow-Bertelloni, Baumgardner, Grand, and Romanowicz [428]
Tackley, Baumgardner, Glatzmaier, Olson, and Clune [3373], Richards, Bunge, Ricard, and Baumgardner [2881], Reese, Solomatov, Baumgardner, and Yang [2809]
Bunge and Davies [426], Bunge, Ricard, and Matas [427], Davies and Bunge [827]
Bunge, Richards, and Baumgardner [431], Stegman, Richards, and Baumgardner [3275]
Bunge, Hagelberg, and Travis [433], Stegman, Jellinek, Zatman, Baumgardner, and Richards [3274]
Reese, Solomatov, Baumgardner, Stegman, and Vezolainen [2808], Walzer, Hendel, and Baumgardner [3613]
Reese, Solomatov, and Baumgardner [2806], Phillips and Bunge [2674], Fukao et al. [1105]
Davies and Bunge [826], Gottschaldt, Walzer, Hendel, Stegman, Baumgardner, and Mühlhaus [1268]
Phillips and Bunge [2675]
Heidbach, Iaffaldano, and Bunge [1450], Shahnas, Lowman, Jarvis, and Bunge [3127], Walzer and Hendel [3609]
Phillips, Bunge, and Schaber [2676], Wolstencroft, Davies, and Davies [3746], Gottschaldt, Walzer, Stegman, Baumgardner, and Mühlhaus [1269], Iaffaldano and Bunge [1616], Schaber, Bunge, Schuberth, Malservisi, and Horbach [3025], Schuberth, Bunge, Steinle-Neumann, Moder, and Oeser [3105], Schuberth, Bunge, and Ritsema [3104], Oeser, Bunge, Mohr, and Igel [2558], Davies and Davies [808]
Yanagisawa, Yamagishi, Hamano, and Stegman [3784]
Wolstencroft and Davies [3745], Iaffaldano, Husson, and Bunge [1621]
Davies, Goes, Davies, Schuberth, Bunge, and Ritsema [803], Shephard et al. [3144]
Davies, Davies, Bollada, Hassan, Morgan, and Nithiarasu [805], O’Farrell, Lowman, and Bunge [2539], Walzer and Hendel [3610]
Butterworth et al. [482]
Amodeo, Schuberth, Bunge, Carrez, and Cordier [44], Colli, Bunge, and Schuberth [663]
Heck, Davies, Elliott, and Porcelli [1444], Nerlich, Colli, Ghelichkhan, Schuberth, and Bunge [2508], Price [2725]
Wolstencroft and Davies [3747], Barry et al. [145], Rubey, Brune, Heine, Davies, Williams, and Müller [2961], Walzer and Hendel [3607]
Ghelichkhan and Bunge [1203], Colli, Ghelichkhan, Bunge, and Oeser [665], Price and Davies [2727]
Price, Davies, and Panton [2726]
Colli, Bunge, and Oeser [662]
Ghelichkhan, Bunge, and Oeser [1202]
Taiwo, Bunge, Schuberth, Colli, and Vilacis [3383], Panton, Davies, and Myhill [2601]
TERRA-NEO TERRA-NEO
TerraFERMA TerraFERMA code TerraFERMA is the Transparent Finite Element Rapid Model Assembler, a software system for the rapid and reproducible construction and exploration of coupled multi-physics models.
TerraFERMA leverages three advanced open-source libraries for scientific computation that provide high level problem description (FEniCS), composable solvers for coupled multi-physics problems (PETSc) and a science neutral options handling system (SPuD) that allows the hierarchical management of all model options.
TerraFERMA inherits most of its functionality from the underlying libraries but adds a layer of control and guidance for building reusable and reproducible applications.
YACC YACC code This stands for ’Yet Another Convection Code’.
UNDERWORLD 1&2 Underworld code Section 3 of [2760] presents the evolutionary path which lead to this code. Also check [2223] for Underworld2.
Taken from a presentation by L. Moresi
Stegman, Freeman, Schellart, Moresi, and May [3271], Moresi and Mühlhaus [2394]
Moresi, Quenette, Lemiale, Mériaux, Appelbe, and Mühlhaus [2400], Schellart, Freeman, Stegman, Moresi, and May [3031], Quenette, Moresi, Sunter, and Appelbe [2760]
Lemiale, Mühlhaus, Moresi, and Stafford [1996], OzBench et al. [2590], Goyette, Takatsuka, Clark, Müller, Rey, and Stegman [1282], Stegman et al. [3276], Schellart, Stegman, Farrington, and Moresi [3041]
Stegman, Freeman, and May [3273]
Capitanio, Stegman, Moresi, and Sharples [510], Mason, Moresi, Betts, and Miller [2250], Stegman, Schellart, and Freeman [3272], Stegman, Farrington, Capitanio, and Schellart [3270], Farrington, Stegman, Moresi, Sandiford, and May [1016], Capitanio, Zlotnik, and Faccenna [511]
Mériaux, Mansour, Moresi, Kerr, and May [2322], Capitanio, Faccenna, Zlotnik, and Stegman [508], Lev and Hager [2033]
Betts, Mason, and Moresi [256], Schellart and Moresi [3032], Faccenda and Capitanio [983], Capitanio and Replumaz [509], Cooper, Moresi, and Lenardic [703]
Farrington, Moresi, and Capitanio [1015], Sharples, Jadamec, Moresi, and Capitanio [3136], Griffin et al. [1302]
Quenette, Xi, Mansour, Moresi, and Abramson [2759], Betts, Moresi, Miller, and Willis [257], Schellart and Spakman [3033], Sharples, Moresi, and Revote [3137], Capitanio, Replumaz, and Riel [517]
Sharples, Moresi, Velic, Jadamec, and May [3138], O’Neill, Lenardic, Weller, Moresi, Quenette, and Zhang [2543], Kiraly, Capitanio, Funiciello, and Faccenna [1861], Salerno, Capitanio, Farrington, and Riel [2991]
Beall, Moresi, and Stern [162], Király, Capitanio, Funiciello, and Faccenna [1864], Schellart [3028], Wang, Kusky, and Capitanio [3639]
Mériaux, D, Mansour, Chen, and Kaluza [2321], Yang, Moresi, Zhao, Sandiford, and Whittaker [3799], Beall, Moresi, and Cooper [163], Mondy, Rey, Duclaux, and Moresi [2372], Wang, Kusky, and Capitanio [3640], Wang, Kusky, and Capitanio [3641]
Sandiford and Moresi [3005], Yang et al. [3795], Capitanio, Nebel, Cawood, Weinberg, and Clos [516], Carluccio, Kaus, Capitanio, and Moresi [523], Sandiford, Moresi, Sandiford, and Yang [3009], Bodur and Rey [297], Smith, Bianchi, and Capitanio [3192], Capitanio, Nebel, Cawood, Weinberg, and Chowdhury [515]
Mansour et al. [2223], Sandiford, Moresi, Sandiford, Farrington, and Yang [3008], Capitanio [518] Ghosh, Bose, Mandal, and Laik [1216], Capitanio, Nebel, and Cawood [521], Gunawardana, Morra, Chowdhury, and Cawood [1338], Schellart [3035]
Korchinski, Teyssier, Rey, Whitney, and Mondy [1913], Qi, Zhang, Xu, and Wang [2750], Strak and Schellart [3335], Zhang, Zlotnik, and Li [3857], Xiang, Wang, and Kusky [3761], Knight, Capitanio, and Weinberg [1879]
Wang, Kusky, and Wang [3642], Almeida, Riel, Rosas, Duarte, and Schellart [40], Peral, Fernàndez, Vergés, Zlotnik, and Jiménez-Munt [2635], Oliveira et al. [2576], Bahadori et al. [104], Capitanio, Nebel, Moyen, and Cawood [522], Wang, Capitanio, Wang, and Kusky [3638], Bahadori et al. [105], Zuhair, Gollapalli, Capitanio, Betts, and Graciosa [3939], Artemieva, Yang, and Thybo [74]
Laik, Schellart, and Strak [1944], Gianni, Likerman, Navarrete, Gianni, and Zlotnik [1217], Yang, Artemieva, and Thybo [3787], Schellart, Strak, Beniest, Duarte, and Rosas [3042], Mondy, Rey, and Duclaux [2371], Li and Gurnis [2057], Li and Gurnis [2058]
Deng, Yang, Zhao, and Zhou [845], Gunawardana, Chowdhury, Morra, and Cawood [1337]
VEMAN
Beuchert and Podladchikov [260]