Nitsche’s method for the obstacle problem of clamped Kirchhoff plates

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A4 Artikkeli konferenssijulkaisussa

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2019-01-01

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en

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9

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Numerical Mathematics and Advanced Applications ENUMATH 2017, pp. 407-415, Lecture Notes in Computational Science and Engineering ; Volume 126

Abstract

The theory behind Nitsche’s method for approximating the obstacle problem of clamped Kirchhoff plates is reviewed. A priori estimates and residual-based a posteriori error estimators are presented for the related conforming stabilised finite element method and the latter are used for adaptive refinement in a numerical experiment.

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Gustafsson, T, Stenberg, R & Videman, J 2019, Nitsche’s method for the obstacle problem of clamped Kirchhoff plates . in F A Radu, K Kumar, I Berre, J M Nordbotten & I S Pop (eds), Numerical Mathematics and Advanced Applications ENUMATH 2017 . Lecture Notes in Computational Science and Engineering, vol. 126, Springer, pp. 407-415, European Conference on Numerical Mathematics and Advanced Applications, Voss, Norway, 25/09/2017 . https://doi.org/10.1007/978-3-319-96415-7_36