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.

A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods

ANTONIETTI, PAOLA FRANCESCA;
2011

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.
Schwarz preconditioners; Domain decomposition; hp-discontinuous Galerkin methods
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/575320
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