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

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Date
2019-01-01
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en
Pages
9
407-415
Series
Numerical Mathematics and Advanced Applications ENUMATH 2017, 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