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On the quadratic finite element approximation to the obstacle problem - MaRDI portal

On the quadratic finite element approximation to the obstacle problem (Q1864409)

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scientific article; zbMATH DE number 1883916
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On the quadratic finite element approximation to the obstacle problem
scientific article; zbMATH DE number 1883916

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    On the quadratic finite element approximation to the obstacle problem (English)
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    18 March 2003
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    A quadratic finite element approximation to an obstacle problem with nonhomogeneous data is considered, without the hypothesis that the free boundary has finite length [see \textit{F. Brezzi}, \textit{W. W. Hager} and \textit{P. A. Raviart}, Numer. Math. 28, 431--443, (1977; Zbl 0369.65030) for details]. The error bound \(O(h^{{3 \over 2} - \epsilon})\) for any \(\epsilon > 0\) is obtained.
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    finite elemene
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    obstacle problem
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    free boundary
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    error bound
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