Duran, Omar; Devloo, Philippe R. B.; Gomes, Sônia M.; Villegas, Jose A multiscale mixed finite element method applied to the simulation of two-phase flows. (English) Zbl 1506.76072 Comput. Methods Appl. Mech. Eng. 383, Article ID 113870, 23 p. (2021). MSC: 76M10 65M60 76Txx PDFBibTeX XMLCite \textit{O. Duran} et al., Comput. Methods Appl. Mech. Eng. 383, Article ID 113870, 23 p. (2021; Zbl 1506.76072) Full Text: DOI HAL
Murad, Marcio A.; Correa, Maicon R.; Borges, Marcio R.; Luízar-Obregón, Jesus A.; Lopes, Tuane V. A fixed-stress split strategy for two-phase flow in heterogeneous poroelastic media overlain by viscoelastic rock salt layers. (English) Zbl 1506.76171 Comput. Methods Appl. Mech. Eng. 380, Article ID 113768, 32 p. (2021). MSC: 76S05 74F10 74L10 PDFBibTeX XMLCite \textit{M. A. Murad} et al., Comput. Methods Appl. Mech. Eng. 380, Article ID 113768, 32 p. (2021; Zbl 1506.76171) Full Text: DOI
Girault, Vivette; Lu, Xueying; Wheeler, Mary F. A posteriori error estimates for Biot system using enriched Galerkin for flow. (English) Zbl 1506.76075 Comput. Methods Appl. Mech. Eng. 369, Article ID 113185, 53 p. (2020). MSC: 76M10 65M60 76S05 PDFBibTeX XMLCite \textit{V. Girault} et al., Comput. Methods Appl. Mech. Eng. 369, Article ID 113185, 53 p. (2020; Zbl 1506.76075) Full Text: DOI
Wheeler, Mary F.; Wick, Thomas; Lee, Sanghyun IPACS: integrated phase-field advanced crack propagation simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media. (English) Zbl 1442.74216 Comput. Methods Appl. Mech. Eng. 367, Article ID 113124, 34 p. (2020). MSC: 74R10 74F10 PDFBibTeX XMLCite \textit{M. F. Wheeler} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 113124, 34 p. (2020; Zbl 1442.74216) Full Text: DOI
Amanbek, Yerlan; Singh, Gurpreet; Pencheva, Gergina; Wheeler, Mary F. Error indicators for incompressible Darcy flow problems using enhanced velocity mixed finite element method. (English) Zbl 1437.76019 Comput. Methods Appl. Mech. Eng. 363, Article ID 112884, 22 p. (2020). MSC: 76M10 65N30 76S05 65N15 PDFBibTeX XMLCite \textit{Y. Amanbek} et al., Comput. Methods Appl. Mech. Eng. 363, Article ID 112884, 22 p. (2020; Zbl 1437.76019) Full Text: DOI arXiv
White, Joshua A.; Castelletto, Nicola; Klevtsov, Sergey; Bui, Quan M.; Osei-Kuffuor, Daniel; Tchelepi, Hamdi A. A two-stage preconditioner for multiphase poromechanics in reservoir simulation. (English) Zbl 1442.76118 Comput. Methods Appl. Mech. Eng. 357, Article ID 112575, 24 p. (2019). MSC: 76S05 65M08 65M60 76M12 PDFBibTeX XMLCite \textit{J. A. White} et al., Comput. Methods Appl. Mech. Eng. 357, Article ID 112575, 24 p. (2019; Zbl 1442.76118) Full Text: DOI arXiv
Dana, Saumik; Wheeler, Mary F. Convergence analysis of two-grid fixed stress split iterative scheme for coupled flow and deformation in heterogeneous poroelastic media. (English) Zbl 1440.74122 Comput. Methods Appl. Mech. Eng. 341, 788-806 (2018). MSC: 74F10 74S05 65M60 74A10 76S05 PDFBibTeX XMLCite \textit{S. Dana} and \textit{M. F. Wheeler}, Comput. Methods Appl. Mech. Eng. 341, 788--806 (2018; Zbl 1440.74122) Full Text: DOI
Rodrigo, C.; Hu, X.; Ohm, P.; Adler, J. H.; Gaspar, F. J.; Zikatanov, L. T. New stabilized discretizations for poroelasticity and the Stokes’ equations. (English) Zbl 1440.76027 Comput. Methods Appl. Mech. Eng. 341, 467-484 (2018). MSC: 76D07 65M12 76M10 65M60 74F10 76S05 PDFBibTeX XMLCite \textit{C. Rodrigo} et al., Comput. Methods Appl. Mech. Eng. 341, 467--484 (2018; Zbl 1440.76027) Full Text: DOI arXiv Link
Gaspar, Francisco J.; Rodrigo, Carmen On the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics. (English) Zbl 1439.74413 Comput. Methods Appl. Mech. Eng. 326, 526-540 (2017). MSC: 74S05 65M60 65M55 74F10 76S05 86-08 PDFBibTeX XMLCite \textit{F. J. Gaspar} and \textit{C. Rodrigo}, Comput. Methods Appl. Mech. Eng. 326, 526--540 (2017; Zbl 1439.74413) Full Text: DOI Link
Bause, M.; Radu, F. A.; Köcher, U. Space-time finite element approximation of the Biot poroelasticity system with iterative coupling. (English) Zbl 1439.74389 Comput. Methods Appl. Mech. Eng. 320, 745-768 (2017). MSC: 74S05 65M60 74F10 PDFBibTeX XMLCite \textit{M. Bause} et al., Comput. Methods Appl. Mech. Eng. 320, 745--768 (2017; Zbl 1439.74389) Full Text: DOI arXiv
Almani, T.; Kumar, K.; Dogru, A.; Singh, G.; Wheeler, M. F. Convergence analysis of multirate fixed-stress split iterative schemes for coupling flow with geomechanics. (English) Zbl 1439.74183 Comput. Methods Appl. Mech. Eng. 311, 180-207 (2016). MSC: 74L05 76M10 76S05 65M60 74F10 PDFBibTeX XMLCite \textit{T. Almani} et al., Comput. Methods Appl. Mech. Eng. 311, 180--207 (2016; Zbl 1439.74183) Full Text: DOI
Samii, Ali; Michoski, Craig; Dawson, Clint A parallel and adaptive hybridized discontinuous Galerkin method for anisotropic nonhomogeneous diffusion. (English) Zbl 1423.76272 Comput. Methods Appl. Mech. Eng. 304, 118-139 (2016). MSC: 76M10 65N30 74F10 76S05 PDFBibTeX XMLCite \textit{A. Samii} et al., Comput. Methods Appl. Mech. Eng. 304, 118--139 (2016; Zbl 1423.76272) Full Text: DOI