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Energy norm a posteriori error estimation for discontinuous Galerkin methods
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- Becker, Roland (author)
- Ruprecht-Karls-Universität Heidelberg,Heidelberg University,Universität Heidelberg
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- Hansbo, Peter F G, 1959 (author)
- Jönköping University,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering
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- Larson, Mats (author)
- Chalmers tekniska högskola,Chalmers University of Technology
- (creator_code:org_t)
- 2003
- 2003
- English.
- In: Computer Methods in Applied Mechanics and Engineering. - 0045-7825 .- 1879-2138. ; 192:5-6, s. 723-733
- Journal article (peer-reviewed)
Abstract
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
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- ref (subject category)
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