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

Antonietti, Paola F. and Houston, Paul (2009) A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods. Journal of Scientific Computing . ISSN 0885-7474 (Submitted)

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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.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/1014111
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Depositing User: Houston, Paul
Date Deposited: 20 Nov 2009 12:11
Last Modified: 04 May 2020 20:26
URI: http://eprints.nottingham.ac.uk/id/eprint/1194

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