A stabilised finite element method for the plate obstacle problem

Tom Gustafsson; Rolf Stenberg; Juha Videman

doi:10.1007/s10543-018-0728-7

A stabilised finite element method for the plate obstacle problem

Tom Gustafsson, Rolf Stenberg^*, Juha Videman

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

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

8 Citations (Scopus)

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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
Number of pages	28
Journal	BIT Numerical Mathematics
Volume	59
Issue number	1
Early online date	21 Sept 2018
DOIs	https://doi.org/10.1007/s10543-018-0728-7
Publication status	Published - 4 Mar 2019
MoE publication type	A1 Journal article-refereed

Keywords

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

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10.1007/s10543-018-0728-7

SCI_Gustafsson_Stenberg_A_Stabilised_Finite_Element_GSV_BITAccepted author manuscript, 1.86 MB

Cite this

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A stabilised finite element method for the plate obstacle problem

Abstract

Keywords

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MaNuMIES - AccuSiM: Manufacturing, NUmerics, and Micromechanics in Engineering Sciences

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A stabilised finite element method for the plate obstacle problem

Abstract

Keywords

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MaNuMIES - AccuSiM: Manufacturing, NUmerics, and Micromechanics in Engineering Sciences

Cite this