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A quasi-static model of a thermoelastic body reinforced by a thin thermoelastic inclusion
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Regularized coupling multiscale method for thermomechanical coupled problems
The homogenized quasi-static model of a thermoelastic composite stitched with reinforcing threads
Irina V. Fankina, Alexey I. Furtsev, Evgeny M. Rudoy and Sergey A. Sazhenkov Journal of Computational and Applied Mathematics 434 115346 (2023) https://doi.org/10.1016/j.cam.2023.115346
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Scalable block preconditioners for saturated thermo-hydro-mechanics problems
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Fast online adaptive enrichment for poroelasticity with high contrast
Unfitted finite element method for fully coupled poroelasticity with stabilization
Zhijun Liu, Yimin Zhang, Yao Jiang, Han Yang and Yongtao Yang Computer Methods in Applied Mechanics and Engineering 397 115132 (2022) https://doi.org/10.1016/j.cma.2022.115132
A Decoupling and Linearizing Discretization for Weakly Coupled Poroelasticity with Nonlinear Permeability
Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model
Ricardo Oyarzúa, Sander Rhebergen, Manuel Solano and Paulo Zúñiga ESAIM: Mathematical Modelling and Numerical Analysis 55 S475 (2021) https://doi.org/10.1051/m2an/2020045
Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem
On the optimization of the fixed‐stress splitting for Biot's equations
Erlend Storvik, Jakub W. Both, Kundan Kumar, Jan M. Nordbotten and Florin A. Radu International Journal for Numerical Methods in Engineering 120(2) 179 (2019) https://doi.org/10.1002/nme.6130
Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot’s consolidation model
Elyes Ahmed, Florin Adrian Radu and Jan Martin Nordbotten Computer Methods in Applied Mechanics and Engineering 347 264 (2019) https://doi.org/10.1016/j.cma.2018.12.016
Computational multiscale methods for linear poroelasticity with high contrast
Vitaly Evgenyevich Borisov, Anton Valerievich Ivanov, Boris Viktorovich Kritskiy, Igor Stanislavovich Men'shov and Evgeny Borisovich Savenkov Keldysh Institute Preprints (81) 1 (2017) https://doi.org/10.20948/prepr-2017-81
A generalized finite element method for linear thermoelasticity
Stress and flux reconstruction in Biot’s poro-elasticity problem with application to a posteriori error analysis
Rita Riedlbeck, Daniele A. Di Pietro, Alexandre Ern, Sylvie Granet and Kyrylo Kazymyrenko Computers & Mathematics with Applications 73(7) 1593 (2017) https://doi.org/10.1016/j.camwa.2017.02.005
A combined finite volume - finite element scheme for a dispersive shallow water system
Jacques Sainte-Marie, Edwige Godlewski, Marie-Odile Bristeau and Nora Aïssiouene Networks and Heterogeneous Media 11(1) 1 (2016) https://doi.org/10.3934/nhm.2016.11.1
2D coupled HM-XFEM modeling with cohesive zone model and applications to fluid-driven fracture network