Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity

DOI10.1051/m2an/2019063OpenAlexW2970100283MaRDI QIDQ5110263

Sarvesh Kumar, Ricardo Ruiz-Baier, Ricardo Oyarzúa, Ruchi Sandilya

Publication date: 18 May 2020

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/42c49387951b1c0bb7f2dc657c0643b4351aea2d

zbMATH Keywords

error estimatesmixed finite elementsconservative schemesdiscontinuous finite volume methodsBiot problemlocking-free approximations

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Finite volume methods applied to problems in solid mechanics (74S10) Finite volume methods for boundary value problems involving PDEs (65N08)

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Uses Software

• Gmsh

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