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• W2079232547 abstract "Averaging techniques are popular tools in adaptive finite element methods for the numerical treatment of second order partial differential equations since they provide efficient a posteriori error estimates by a simple postprocessing. In this paper, their reliablility is shown for conforming, nonconforming, and mixed low order finite element methods in a model situation: the Laplace equation with mixed boundary conditions. Emphasis is on possibly unstructured grids, nonsmoothness of exact solutions, and a wide class of averaging techniques. Theoretical and numerical evidence supports that the reliability is up to the smoothness of given right-hand sides." @default.
• W2079232547 created "2016-06-24" @default.
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• W2079232547 date "2002-02-04" @default.
• W2079232547 modified "2023-10-13" @default.
• W2079232547 title "Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM" @default.
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• W2079232547 doi "https://doi.org/10.1090/s0025-5718-02-01402-3" @default.
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