Rotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problem

DOI10.1137/19M1268343zbMath1455.65208MaRDI QIDQ5216788

Verónica Anaya, Zoa de Wijn, Bryan Gomez-Vargas, Ricardo Ruiz-Baier, David Mora

Publication date: 20 February 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

error estimationmixed finite element methodinterface problemsFredholm's alternativeelasticity-poroelasticity coupling

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Structured surfaces and interfaces, coexistent phases (74A50) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Biomechanics (92C10) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (10)

VIRTUAL ELEMENT APPROXIMATIONS FOR TWO SPECIES MODEL OF THE ADVECTION-DIFFUSION-REACTION IN POROELASTIC MEDIA ⋮ Robust A Posteriori Error Analysis for Rotation-Based Formulations of the Elasticity/Poroelasticity Coupling ⋮ Mixed and Multipoint Finite Element Methods for Rotation-Based Poroelasticity ⋮ Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity ⋮ Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem ⋮ A robust discrete scheme based on staggered grids for poroelastic-elastic coupled problems ⋮ Numerical solution of the Biot/elasticity interface problem using virtual element methods ⋮ Virtual element methods for the three-field formulation of time-dependent linear poroelasticity ⋮ A generalized finite difference method for solving elasticity interface problems ⋮ Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media

Uses Software

• DOpElib

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