Efficient and reliable hierarchical error estimates for an elliptic obstacle problem (Q624982)

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scientific article; zbMATH DE number 5850235
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Efficient and reliable hierarchical error estimates for an elliptic obstacle problem
scientific article; zbMATH DE number 5850235

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    Efficient and reliable hierarchical error estimates for an elliptic obstacle problem (English)
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    11 February 2011
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    The author presents and analyzes novel hierarchical a posteriori error estimates for a self-adjoint elliptic obstacle problem. Efficiency and reliability of hierarchical estimates are proved under a suitable saturation assumption. The proof is based on some new observations on the efficiency of some hierarchical error estimates. Numerical computations confirm the theoretical findings. The paper contains a large amount of results launching a broad coverage of the subject matter. The results of the paper are very interesting.
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    hierarchical error estimates
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    variational inequalities
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    numerical examples
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    a posteriori error estimates
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    self-adjoint elliptic obstacle problem
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