We present a class of Schwarz preconditioners for discontinuous Galerkin approximations of elliptic problems. We provide a unified framework for the construction and analysis of two-level methods which share the features of the classical Schwarz techniques for conforming finite element discretizations. Numerical experiments confirming the theoretical results are also included.

Class of preconditioners for discontinuous Galerkin approximations of elliptic problems

ANTONIETTI, PAOLA FRANCESCA;
2008

Abstract

We present a class of Schwarz preconditioners for discontinuous Galerkin approximations of elliptic problems. We provide a unified framework for the construction and analysis of two-level methods which share the features of the classical Schwarz techniques for conforming finite element discretizations. Numerical experiments confirming the theoretical results are also included.
Domain Decomposition Methods in Science and Engineering XVII
9783540751984
9783540751984
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/1002998
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