A posteriori error estimation of residual type for anisotropic diffusion-convection-reaction problems |
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Authors: | Thomas Apel Dieter Sirch |
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Institution: | a Institut für Mathematik und Bauinformatik, Universität der Bundeswehr München, D-85577 Neubiberg, Germanyb Université de Valenciennes et du Hainaut Cambrésis, LAMAV, ISTV, F-59313 - Valenciennes Cedex 9, France |
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Abstract: | This paper presents a robust a posteriori residual error estimator for diffusion-convection-reaction problems with anisotropic diffusion, approximated by a SUPG finite element method on isotropic or anisotropic meshes in Rd, d=2 or 3. The equivalence between the energy norm of the error and the residual error estimator is proved. Numerical tests confirm the theoretical results. |
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Keywords: | 65N30 65N15 |
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