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Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems
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G. Kanschat
Published/Copyright:
November 15, 2010
Abstract
A local a priori and a posteriori analysis is developed for the Galerkin method with discontinuous finite elements for solving stationary diffusion problems. The main results are an optimalorder estimate for the point-wise error and a corresponding a posteriori error bound. The proofs are based on weighted L2-norm error estimates for discrete Green functions as already known for the ‘continuous’ finite element method.
Keywords:: discontinuous Galerkin; finite elements; interior penalty; point-wise error; a posteriori estimate
Received: 2002-08-22
Published Online: 2010-11-15
Published in Print: 2002-December
© VSP 2002
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Keywords for this article
discontinuous Galerkin;
finite elements;
interior penalty;
point-wise error;
a posteriori estimate
