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

Tom Gustafsson; Rolf Stenberg; Juha Videman

doi:10.1007/978-3-319-96415-7_36

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

Tom Gustafsson, Rolf Stenberg^*, Juha Videman

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

University of Lisbon

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

1 Citation (Scopus)

243 Downloads (Pure)

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.

Original language	English
Title of host publication	Numerical Mathematics and Advanced Applications ENUMATH 2017
Editors	Florin Adrian Radu, Kundan Kumar, Inga Berre, Jan Martin Nordbotten, Iuliu Sorin Pop
Publisher	Springer
Pages	407-415
Number of pages	9
ISBN (Print)	9783319964140
DOIs	https://doi.org/10.1007/978-3-319-96415-7_36
Publication status	Published - 1 Jan 2019
MoE publication type	A4 Conference publication
Event	European Conference on Numerical Mathematics and Advanced Applications - Voss, Norway Duration: 25 Sept 2017 → 29 Sept 2017

Publication series

Name	Lecture Notes in Computational Science and Engineering
Publisher	Springer
Volume	126
ISSN (Print)	1439-7358

Conference

Conference	European Conference on Numerical Mathematics and Advanced Applications
Abbreviated title	ENUMATH
Country/Territory	Norway
City	Voss
Period	25/09/2017 → 29/09/2017

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10.1007/978-3-319-96415-7_36

SCI_Gustafsson_et.al_Nitsche's_MethodAccepted author manuscript, 491 KB

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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 (pp. 407-415). (Lecture Notes in Computational Science and Engineering; Vol. 126). Springer. https://doi.org/10.1007/978-3-319-96415-7_36

Gustafsson, Tom ; Stenberg, Rolf ; Videman, Juha. / Nitsche’s method for the obstacle problem of clamped Kirchhoff plates. Numerical Mathematics and Advanced Applications ENUMATH 2017. editor / Florin Adrian Radu ; Kundan Kumar ; Inga Berre ; Jan Martin Nordbotten ; Iuliu Sorin Pop. Springer, 2019. pp. 407-415 (Lecture Notes in Computational Science and Engineering).

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abstract = "The theory behind Nitsche{\textquoteright}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 FA Radu, K Kumar, I Berre, JM Nordbotten & IS 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

Nitsche’s method for the obstacle problem of clamped Kirchhoff plates. / Gustafsson, Tom ; Stenberg, Rolf ; Videman, Juha.
Numerical Mathematics and Advanced Applications ENUMATH 2017. ed. / Florin Adrian Radu; Kundan Kumar; Inga Berre; Jan Martin Nordbotten; Iuliu Sorin Pop. Springer, 2019. p. 407-415 (Lecture Notes in Computational Science and Engineering; Vol. 126).

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

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

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