The Gradient Discretisation Method for Two-Phase Discrete Fracture Matrix Models in Deformable Porous Media

DOI10.1007/978-3-030-43651-3_26zbMath1454.65112OpenAlexW3011902431MaRDI QIDQ5117449

Francesco Bonaldi, Roland Masson, Jérôme Droniou, Konstantin Brenner

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_26

zbMATH Keywords

convergence analysisporomechanicstwo-phase Darcy flowsdiscrete fracture matrix modelsgradient discretization

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

• Gradient discretization of hybrid dimensional Darcy flows in fractured porous media
• The gradient discretisation method
• A lubrication fracture model in a poro-elastic medium

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