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;
2008-01-01
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.File in questo prodotto:
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