Publication Results

Code: 34/2009
Title: A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods
Date: Monday 14th December 2009
Author(s) : Antonietti, Paola F.; Houston, Paul
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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 con rming the theoretical estimates are also presented.