A stabilised finite element method for the plate obstacle problem

Tom T. Gustafsson; Rolf Stenberg; Juha Videman

doi:10.1007/s10543-018-0728-7

A stabilised finite element method for the plate obstacle problem

Tom T. Gustafsson, Rolf Stenberg (Corresponding Author), Juha Videman

Research output: Contribution to journal › Article › Scientific › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	97-124
Journal	BIT Numerical Mathematics
Volume	59
Issue number	1
DOIs	https://doi.org/10.1007/s10543-018-0728-7
Publication status	Published - 4 Mar 2019
MoE publication type	Not Eligible

Keywords

Obstacle problem
Kirchhoff plate
Stabilised FEM
A posteriori estimate
Nitsche’s method

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10.1007/s10543-018-0728-7

https://arxiv.org/abs/1711.04166

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KW - Stabilised FEM

KW - A posteriori estimate

KW - Nitsche’s method

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A stabilised finite element method for the plate obstacle problem

Abstract

Keywords

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