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These papers used Underworld to produce their results. It is worth looking at the underworld-community organisation too — simplified versions of the scripts behind some of this work have been shared there.

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Moresi, L., Dufour, F., & Mühlhaus, H.-B. (2003). A Lagrangian integration point finite element method for large deformation modeling of viscoelastic geomaterials. Journal of Computational Physics, 184(2), 476–497. https://doi.org/10.1016/s0021-9991(02)00031-1
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Moresi, L., Quenette, S., Lemiale, V., Mériaux, C., Appelbe, B., & Mühlhaus, H.-B. (2007). Computational approaches to studying non-linear dynamics of the crust and mantle. Physics of the Earth and Planetary Interiors, Computational Challenges in the Earth Sciences, 163(1), 69–82. https://doi.org/10.1016/j.pepi.2007.06.009
Muhlhaus, H.-B., & Moresi, L. N. (2019). A Model for Trap Door Flow from a Deep Container. In W. Wu (Ed.), Desiderata Geotechnica (pp. 113–118). Springer International Publishing.
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Pall, J., Zahirovic, S., Doss, S., Hassan, R., Matthews, K. J., Cannon, J., Gurnis, M., Moresi, L., Lenardic, A., & Müller, R. D. (2018). The influence of carbonate platform interactions with subduction zone volcanism on palaeo-atmospheric CO2 since the Devonian. Climate of the Past, 14(6), 857–870. https://doi.org/10/gdssk9
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Sharples, W., Jadamec, M. A., Moresi, L. N., & Capitanio, F. A. (2014). Overriding plate controls on subduction evolution. Journal of Geophysical Research: Solid Earth, 119(8), 6684–6704. https://doi.org/10/gf9rjc
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Sharples, W., Moresi, L. N., Velic, M., Jadamec, M. A., & May, D. A. (2016). Simulating faults and plate boundaries with a transversely isotropic plasticity model. Physics of the Earth and Planetary Interiors, 252, 77–90. https://doi.org/10/gf9rjj
Sharples, W., Moresi, L.-N., Jadamec, M. A., & Revote, J. (2015). Styles of rifting and fault spacing in numerical models of crustal extension. Journal of Geophysical Research: Solid Earth, 120(6), 4379–4404. https://doi.org/10/gf9rhv
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Wang, Z., Kusky, T. M., & Capitanio, F. A. (2017). Ancient Continental Lithosphere Dislocated Beneath Ocean Basins Along the Mid-Lithosphere Discontinuity: A Hypothesis. Geophysical Research Letters, 44(18), 9253–9260. https://doi.org/10.1002/2017GL074686
Wang, Z., Kusky, T. M., & Capitanio, F. A. (2018a). On the Role of Lower Crust and Midlithosphere Discontinuity for Cratonic Lithosphere Delamination and Recycling. Geophysical Research Letters, 45(15), 7425–7433. https://doi.org/10.1029/2017GL076948
Wang, Z., Kusky, T. M., & Capitanio, F. A. (2018b). Water transportation ability of flat-lying slabs in the mantle transition zone and implications for craton destruction. Tectonophysics, 723, 95–106. https://doi.org/10.1016/j.tecto.2017.11.041
Yang, H., Moresi, L. N., & Mansour, J. (2021). Stress recovery for the particle-in-cell finite element method. Physics of the Earth and Planetary Interiors, 311, 106637. https://doi.org/10/gh2djv
Yang, H., Moresi, L. N., & Quigley, M. (2019). Fault spacing in continental strike-slip shear zones. Earth and Planetary Science Letters, 115906. https://doi.org/10.1016/j.epsl.2019.115906
Yang, T., Moresi, L., Gurnis, M., Liu, S., Sandiford, D., Williams, S., & Capitanio, F. A. (2019). Contrasted East Asia and South America tectonics driven by deep mantle flow. Earth and Planetary Science Letters, 517, 106–116. https://doi.org/10/gf9rh7
Yang, T., Moresi, L., Müller, R. D., & Gurnis, M. (2017). Oceanic Residual Topography Agrees With Mantle Flow Predictions at Long Wavelengths. Geophysical Research Letters, 44(21), 10,896-10,906. https://doi.org/10/gcsbvt
Yang, T., Moresi, L., Zhao, D., Sandiford, D., & Whittaker, J. (2018). Cenozoic lithospheric deformation in Northeast Asia and the rapidly-aging Pacific Plate. Earth and Planetary Science Letters, 492, 1–11. https://doi.org/10.1016/j.epsl.2018.03.057
Zhang, Q., Guo, F., Zhao, L., & Wu, Y. (2017). Geodynamics of divergent double subduction: 3-D numerical modeling of a Cenozoic example in the Molucca Sea region, Indonesia: 3-D NUMERICAL MODELING OF DDS. Journal of Geophysical Research: Solid Earth, 122(5), 3977–3998. https://doi.org/10.1002/2017JB013991
(N.d.).