A posteriori error estimates and stopping criteria for space-time domain decomposition for two-phase flow between different rock types

Autor: Sarah Ali Hassan, Martin Vohralík, Caroline Japhet, Elyes Ahmed, Michel Kern

Publikováno v: SMAI Journal of Computational Mathematics
SMAI Journal of Computational Mathematics, Société de Mathématiques Appliquées et Industrielles (SMAI), 2019, 5, pp.195-227. ⟨10.5802/smai-jcm.47⟩
SMAI Journal of Computational Mathematics, 2019, 5, pp.195-227. ⟨10.5802/smai-jcm.47⟩
The SMAI journal of computational mathematics

International audience We consider two-phase flow in a porous medium composed of two different rock types, so that the capillary pressure field is discontinuous at the interface between the rocks. This is a nonlinear and degenerate parabolic problem

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3174ab613798ed352a7da8e44f475d7c
https://hal.inria.fr/hal-01540956v3/file/HALpaper.pdf

A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations

Autor: Caroline Japhet, Sarah Ali Hassan, Martin Vohralík

Publikováno v: Electronic Transactions on Numerical Analysis
Electronic Transactions on Numerical Analysis, 2018, 49, pp.151-181,. ⟨10.1553/etna_vol49s151⟩
Electronic Transactions on Numerical Analysis, Kent State University Library, 2018, 49, pp.151-181,. ⟨10.1553/etna_vol49s151⟩
ETNA-Electronic Transactions on Numerical Analysis

International audience We propose and analyse a posteriori estimates for global-in-time, nonoverlapping domain decomposition methods for heterogeneous and anisotropic porous media diffusion problems. We consider mixed formulations, with a lowest-orde

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5dd88aed14aa11be799777f670a253f
https://inria.hal.science/hal-01586862