Robust Block Preconditioners for Biot’s Model

DOI10.1007/978-3-319-93873-8_1zbMath1442.65342arXiv1705.08842OpenAlexW2963465078MaRDI QIDQ5114521

Carmen Rodrigo, Ludmil T. Zikatanov, J. H. Adler, Xiaozhe Hu, Francisco José Gaspar

Publication date: 24 June 2020

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08842

zbMATH Keywords

Krylov subspace methodBiot's modelstabilized finite element discretizationblock triangular preconditionersoil consolidation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Linear elasticity with initial stresses (74B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10) PDEs in connection with mechanics of deformable solids (35Q74) Preconditioners for iterative methods (65F08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (22)

An enriched Galerkin method for the Stokes equations ⋮ Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity ⋮ A two-stage preconditioner for multiphase poromechanics in reservoir simulation ⋮ Some optimally convergent algorithms for decoupling the computation of Biot's model ⋮ Pressure-robust enriched Galerkin methods for the Stokes equations ⋮ Auxiliary space preconditioning for mixed finite element discretizations of Richards' equation ⋮ Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems ⋮ Mixed-Dimensional Auxiliary Space Preconditioners ⋮ A general preconditioning framework for coupled multiphysics problems with application to contact- and poro-mechanics ⋮ Preconditioning mixed finite elements for tide models ⋮ Robust Preconditioners for a New Stabilized Discretization of the Poroelastic Equations ⋮ Robust block preconditioners for poroelasticity ⋮ Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot's consolidation model ⋮ Block preconditioners for mixed-dimensional discretization of flow in fractured porous media ⋮ Approximate inverse-based block preconditioners in poroelasticity ⋮ Efficient solvers for hybridized three-field mixed finite element coupled poromechanics ⋮ A Scalable Multigrid Reduction Framework for Multiphase Poromechanics of Heterogeneous Media ⋮ Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot’s consolidation and multiple-network poroelasticity models ⋮ Iterative splitting schemes for a soft material poromechanics model ⋮ Enhanced relaxed physical factorization preconditioner for coupled poromechanics ⋮ A multigrid preconditioner for spatially adaptive high-order meshless method on fluid-solid interaction problems ⋮ Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity

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