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On the asymptotic exactness of Bank-Weiser's estimator - MaRDI portal

On the asymptotic exactness of Bank-Weiser's estimator (Q1204151)

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scientific article; zbMATH DE number 146168
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English
On the asymptotic exactness of Bank-Weiser's estimator
scientific article; zbMATH DE number 146168

    Statements

    On the asymptotic exactness of Bank-Weiser's estimator (English)
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    1 April 1993
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    We analyze an error estimator introduced by \textit{R. E. Bank} and \textit{A. Weiser} [Math. Comput. 44, 283-301 (1985; Zbl 0569.65079)]. We prove that this estimator is asymptotically exact in the energy norm for regular solutions and parallel meshes. Be considering a simple example we show that this is not true for general meshes.
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    Poisson equation
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    asymptotic exactness
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    finite element method
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    second order elliptic equations
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    error estimator
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