Robust equilibrated residual error estimator for diffusion problems: conforming elements (Q2882337)

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scientific article; zbMATH DE number 6030209
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Robust equilibrated residual error estimator for diffusion problems: conforming elements
scientific article; zbMATH DE number 6030209

    Statements

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    4 May 2012
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    a posteriori error estimator
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    equilibrated residual error estimator
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    finite element
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    discontinuous coefficients
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    Prager-Synge identity
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    Robust equilibrated residual error estimator for diffusion problems: conforming elements (English)
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    The paper considers finite element a posteriori error estimation for elliptic problems with discontinuous coefficients. The estimator is based on the Prager-Synge identity and on a local recovery of an equilibrated flux. The estimator is shown to be robust with respect to the jump of coefficients if the distribution of diffusion coefficients is local quasi-monotone.
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