A stabilised finite element method for the plate obstacle problem

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Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Author
Date
2019-03-04
Department
VTT Technical Research Centre of Finland
Department of Mathematics and Systems Analysis
Universidade Lisboa
Major/Subject
Mcode
Degree programme
Language
en
Pages
Series
BIT Numerical Mathematics
Abstract
We introduce a stabilised finite element formulation for the Kirchhoff plate obstacle problem and derive both a priori and residual-based a posteriori error estimates using conforming C1-continuous finite elements. We implement the method as a Nitsche-type scheme and give numerical evidence for its effectiveness in the case of an elastic and a rigid obstacle.
Description
Keywords
A posteriori estimate, Kirchhoff plate, Nitsche’s method, Obstacle problem, Stabilised FEM
DOI
10.1007/s10543-018-0728-7
Citation
Gustafsson , T , Stenberg , R & Videman , J 2019 , ' A stabilised finite element method for the plate obstacle problem ' , BIT Numerical Mathematics , vol. 59 , no. 1 , pp. 97-124 . https://doi.org/10.1007/s10543-018-0728-7
Permanent link to this item
https://urn.fi/URN:NBN:fi:aalto-201812106361
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[article-cris] Perustieteiden korkeakoulu / SCI