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Energy norm a posteriori error estimation for discontinuous Galerkin methods

✍ Scribed by Roland Becker; Peter Hansbo; Mats G. Larson

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 316 KB
Volume: 192
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(02)00593-5

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✦ Synopsis

In this paper we present a residual-based a posteriori error estimate of a natural mesh dependent energy norm of the error in a family of discontinuous Galerkin approximations of elliptic problems. The theory is developed for an elliptic model problem in two and three spatial dimensions and general nonconvex polygonal domains are allowed. We also present some illustrating numerical examples.

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