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

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

2011-10-26

arxiv.org/abs/1110.5743v2

Mathematics

Numerical Analysis

23 pages and 2 figures

Scientific paper

We study preconditioning techniques for discontinuous Galerkin discretizations of isotropic linear elasticity problems in primal (displacement) formulation. We propose subspace correction methods based on a splitting of the vector valued piecewise linear discontinuous finite element space, that are optimal with respect to the mesh size and the Lame parameters. The pure displacement, the mixed and the traction free problems are discussed in detail. We present a convergence analysis of the proposed preconditioners and include numerical examples that validate the theory and assess the performance of the preconditioners.

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