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Preconditioning of Elasticity Problems with Discontinuous Material Parameters

In: Numerical Mathematics and Advanced Applications 2011

Author

Listed:
  • I. Georgiev

    (Bulgarian Academy of Sciences, Institute of Mathematics and Informatics
    Austrian Academy of Sciences, Johann Radon Institute for Computational and Applied Mathematics)

  • J. Kraus

    (Austrian Academy of Sciences, Johann Radon Institute for Computational and Applied Mathematics)

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.

Suggested Citation

  • I. Georgiev & J. Kraus, 2013. "Preconditioning of Elasticity Problems with Discontinuous Material Parameters," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 761-769, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_80
    DOI: 10.1007/978-3-642-33134-3_80
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