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

Gustafsson, Tom; Stenberg, Rolf; Videman, Juha

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

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Title:	Nitsche’s method for the obstacle problem of clamped Kirchhoff plates
Author(s):	Gustafsson, Tom ; Stenberg, Rolf ; Videman, Juha
Date:	2019-01-01
Language:	en
Pages:	9 407-415
Department:	Department of Mathematics and Systems Analysis University of Lisbon
ISBN:	9783319964140
Series:	Numerical Mathematics and Advanced Applications ENUMATH 2017, Lecture Notes in Computational Science and Engineering, Volume 126
ISSN:	1439-7358
DOI-number:	10.1007/978-3-319-96415-7_36
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Citation: 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
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.

Permanent link to this item: http://urn.fi/URN:NBN:fi:aalto-202001171655 Email this Export to RefWorks QR Code Print BibTex Tweet