Error estimates of triangular finite elements under a weak angle condition (Q1026458)
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scientific article; zbMATH DE number 5570579
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Error estimates of triangular finite elements under a weak angle condition |
scientific article; zbMATH DE number 5570579 |
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Error estimates of triangular finite elements under a weak angle condition (English)
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25 June 2009
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By analyzing the interpolation operator of \textit{V. Girault} and \textit{P. A. Raviart} [Finite element methods for Navier-Stokes equations. Theory and algorithms. Springer Series in Computational Mathematics, 5. (Berlin) etc.: Springer- Verlag. (1986; Zbl 0585.65077)] over triangular meshes, the authors prove optimal interpolation error estimates for Lagrange triangular finite elements of arbitrary order under the maximal angle condition in a unified and simple way. The key estimate is only an application of the Bramble-Hilbert lemma
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interpolation error estimates
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bramble-Hilbert Lemma
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maximal angle condition
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Lagrange triangular finite elements
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0.90397716
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0.89375204
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0.8806874
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0.8744255
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0.87385666
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0.87294036
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