A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations

DOI10.1051/M2AN/2013070zbMath1311.74108arXiv1110.5743OpenAlexW1985779938MaRDI QIDQ5397517

Ludmil T. Zikatanov, Blanca Ayuso De Dios, I. Georgiev, Johannes Kraus

Publication date: 24 February 2014

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5743

zbMATH Keywords

preconditioninglinear elasticity equationslocking free discretizations

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Uniformly convergent iterative methods for discontinuous Galerkin discretizations ⋮ Finite element solvers for Biot's poroelasticity equations in porous media ⋮ New hybridized mixed methods for linear elasticity and optimal multilevel solvers ⋮ Substructuring preconditioners for an \(h\)-\(p\) domain decomposition method with interior penalty mortaring ⋮ A Simple Preconditioner for the SIPG Discretization of Linear Elasticity Equations ⋮ A Locally Conservative Enriched Galerkin Approximation and Efficient Solver for Elliptic and Parabolic Problems

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