Anisotropic error estimates for elliptic problems (Q1402151)
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scientific article; zbMATH DE number 1967694
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Anisotropic error estimates for elliptic problems |
scientific article; zbMATH DE number 1967694 |
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Anisotropic error estimates for elliptic problems (English)
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19 August 2003
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The aim of this paper is to provide both a priori and a posteriori estimates for a generic elliptic problem. The a priori result is deduced by following the standard finite element theory. For the a posteriori estimate the analysis extends to anisotropic meshes the theory proposed by \textit{R. Rannacher} [NATO ASI Ser., Ser. C, Math. Phys. Sci. 536, 247-278 (1999; Zbl 0943.65123)] and his coworkers. The results obtained on some test-cases confirm the quality of the analysis.
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two-dimensional elliptic problem
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finite elements
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anisotropic error estimates
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anisotropic meshes
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numerical examples
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