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A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods

Antonietti, Paola F.; Houston, Paul

Authors

Paola F. Antonietti paola.antonietti@polimi.it

PAUL HOUSTON paul.houston@nottingham.ac.uk
Professor of Computational and Applied Maths



Abstract

In this article we address the question of efficiently solving the algebraic linear system of equations arising from the discretization of a symmetric, elliptic boundary value problem using hp-version discontinuous Galerkin finite element methods. In particular, we introduce a class of domain decomposition preconditioners based on the Schwarz framework, and prove bounds on the condition number of the resulting iteration operators. Numerical results confirming the theoretical estimates are also presented.

Citation

Antonietti, P. F., & Houston, P. A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods. Manuscript submitted for publication

Journal Article Type Article
Deposit Date Nov 20, 2009
Journal Journal of Scientific Computing
Print ISSN 0885-7474
Electronic ISSN 0885-7474
Publisher Humana Press
Peer Reviewed Not Peer Reviewed
Public URL http://eprints.nottingham.ac.uk/id/eprint/1194
Publisher URL http://www.springer.com/math/cse/journal/10915
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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