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

Blanca Ayuso de Dios; Ivan Georgiev; Johannes Kraus; Ludmil Zikatanov

- Volume: 47, Issue: 5, page 1315-1333
- ISSN: 0764-583X

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topAyuso de Dios, Blanca, et al. "A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 47.5 (2013): 1315-1333. <http://eudml.org/doc/273141>.

@article{AyusodeDios2013,

abstract = {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 Lamé 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.},

author = {Ayuso de Dios, Blanca, Georgiev, Ivan, Kraus, Johannes, Zikatanov, Ludmil},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {linear elasticity equations; locking free discretizations; preconditioning},

language = {eng},

number = {5},

pages = {1315-1333},

publisher = {EDP-Sciences},

title = {A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations},

url = {http://eudml.org/doc/273141},

volume = {47},

year = {2013},

}

TY - JOUR

AU - Ayuso de Dios, Blanca

AU - Georgiev, Ivan

AU - Kraus, Johannes

AU - Zikatanov, Ludmil

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

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2013

PB - EDP-Sciences

VL - 47

IS - 5

SP - 1315

EP - 1333

AB - 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 Lamé 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.

LA - eng

KW - linear elasticity equations; locking free discretizations; preconditioning

UR - http://eudml.org/doc/273141

ER -

## References

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