Steady flow in a deformable porous medium

DOI10.1002/mma.2862zbMath1302.35312OpenAlexW2099944837MaRDI QIDQ5415924

Song Chen, A. J. Meir, Yanzhao Cao

Publication date: 19 May 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2862

zbMATH Keywords

dilatationfinite element approximationporoelasticityelasticity systemDarcy's equationstress-dependent permeabilitydeformable porous medium

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Linear elasticity with initial stresses (74B10) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) PDEs in connection with mechanics of deformable solids (35Q74)

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