An efficient multigrid solver for a reformulated version of the poroelasticity system

DOI10.1016/j.cma.2006.03.020zbMath1173.74460OpenAlexW2128727829WikidataQ57694648 ScholiaQ57694648MaRDI QIDQ1033444

Petr N. Vabishchevich, Francisco Javier Lisbona, Cornelis W. Oosterlee, Francisco José Gaspar

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/12158

zbMATH Keywords

stabilitymultigridtransformationporoelasticitycollocated grid

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in solid mechanics (74S20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items

Splitting schemes with respect to physical processes for double-porosity poroelasticity problems, Multigrid methods for the Stokes equations using distributive Gauss-Seidel relaxations based on the least squares commutator, Numerical approximation of poroelasticity with random coefficients using polynomial chaos and hybrid high-order methods, Splitting scheme for poroelasticity and thermoelasticity problems, Splitting Scheme for Poroelasticity and Thermoelasticity Problems, A comparison of the extrapolated successive overrelaxation and the preconditioned simultaneous displacement methods for augmented linear systems, Multigrid Method for Poroelasticity Problem by Finite Element Method, Multigrid relaxation methods for systems of saddle point type, Distributive smoothers in multigrid for problems with dominating grad-div operators, Splitting schemes for poroelasticity and thermoelasticity problems, Parallel Multiblock Multigrid Algorithms for Poroelastic Models, Numerical stabilization of Biot's consolidation model by a perturbation on the flow equation, Numerical Solution of Thermoporoelasticity Problems

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