Preconditioning of Elasticity Problems with Discontinuous Material Parameters

I. Georgiev () and J. Kraus ()
Additional contact information
I. Georgiev: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics
J. Kraus: Austrian Academy of Sciences, Johann Radon Institute for Computational and Applied Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 761-769 from Springer

Abstract: Abstract We consider preconditioning methods for the systems of linear algebraic equations arising from Symmetric Interior Penalty discontinuous Galerkin (SIPG) discretization of linear elasticity problems in primal (displacement) formulation. The presented approach is a generalization of the subspace correction method studied in Ayuso et al. (A Subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations, arXiv:1110.5743v2, 2011) for linear elasticity problems with discontinuous material properties. The application of the preconditioner reduces to the solution of a problem arising from discretization of the equations of linear elasticity by nonconforming Crouzeix-Raviart finite elements plus the solution of a well-conditioned problem on the complementary space.

Keywords: Symmetric Interior Penalty Discontinuous Galerkin (SIPG); Nonconforming Crouzeix Raviart Finite Element; Linear Elasticity Problem; Subspace Correction Methods; Discontinuous Material Properties (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_80

Ordering information: This item can be ordered from
http://www.springer.com/9783642331343

DOI: 10.1007/978-3-642-33134-3_80

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().