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A superconvergence result for discontinuous Galerkin methods applied to elliptic problems

✍ Scribed by Paul Castillo

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 153 KB
Volume: 192
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(03)00445-6

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✦ Synopsis

This paper presents a theoretical and numerical study of a class of discontinuous Galerkin methods that shows the approximation of the gradient superconverges at the zeros of the Legendre polynomials on a model 1D elliptic problem. Numerical experiments validate the theoretical results.

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