Numerical analysis for an energy-stable total discretization of a poromechanics model with inf-sup stability

DOI10.1007/s10255-019-0799-5zbMath1428.65026OpenAlexW2901942179MaRDI QIDQ2420624

Philippe Moireau, B. Burtschell, Dominique Chapelle

Publication date: 6 June 2019

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01928312v2/file/ThermoPerfAnalyze.pdf

zbMATH Keywords

energy estimatesincompressibilityporomechanicsinf-suptotal discretization

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

Analysis of a linearized poromechanics model for incompressible and nearly incompressible materials ⋮ Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model ⋮ Iterative splitting schemes for a soft material poromechanics model ⋮ Robust approximation of generalized Biot-Brinkman problems

Uses Software

• FreeFem++

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