Numerical methods for a one-dimensional non-linear Biot's model

DOI10.1016/J.CAM.2015.03.039zbMath1329.76231OpenAlexW2086266066MaRDI QIDQ747915

Vo Thi Kim Tuyen, Piotr P. Matus, Francisco Javier Lisbona, Francisco José Gaspar

Publication date: 19 October 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.03.039

zbMATH Keywords

maximum principlefinite-difference schemenon-linear Biot's model

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (2)

Multigrid method for nonlinear poroelasticity equations ⋮ New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability

Cites Work

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• Inf-sup conditions for finite-difference approximations of the stokes equations
• Stability of Difference Schemes for Nonlinear Time-dependent Problems
• The Maximum Principle and Some of Its Applications
• The Maximum Principle and Some of Its Applications
• A stabilized method for a secondary consolidation Biot's model

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