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• W2146115533 abstract "Averaging techniques are popular tools in adaptive finite element methods since they provide efficient a posteriori error estimates by a simple postprocessing. In the second paper of our analysis of their reliability, we consider conforming $h$-FEM of higher (i.e., not of lowest) order in two or three space dimensions. In this paper, reliablility is shown for conforming higher 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 local averaging techniques. Theoretical and numerical evidence supports that the reliability is up to the smoothness of given right-hand sides." @default.
• W2146115533 created "2016-06-24" @default.
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• W2146115533 date "2002-02-04" @default.
• W2146115533 modified "2023-10-13" @default.
• W2146115533 title "Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM" @default.
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• W2146115533 doi "https://doi.org/10.1090/s0025-5718-02-01412-6" @default.
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