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

Ayuso De Dios, B., Georgiev, I., Kraus, J., Zikatanov, L. (2013). A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations. MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE, 47(5), 1315-1333 [10.1051/m2an/2013070].

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

Ayuso De Dios, B;
2013

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
Articolo in rivista - Articolo scientifico
LINEAR ELASTICITY; subspace correction; interior penalty methods
English
2013
47
5
1315
1333
open
Ayuso De Dios, B., Georgiev, I., Kraus, J., Zikatanov, L. (2013). A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations. MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE, 47(5), 1315-1333 [10.1051/m2an/2013070].
File in questo prodotto:
File Dimensione Formato  
elasticity_m2an13.pdf

accesso aperto

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 296.67 kB
Formato Adobe PDF
296.67 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/218209
Citazioni
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
Social impact