A stabilised finite element method for the plate obstacle problem

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

Research output: Contribution to journalArticleScientificpeer-review

2 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 languageEnglish
Pages (from-to)97-124
Number of pages28
JournalBIT Numerical Mathematics
Volume59
Issue number1
DOIs
Publication statusPublished - 4 Mar 2019
MoE publication typeNot Eligible

Fingerprint

Stabilized Finite Element Method
Stabilized Finite Elements
Kirchhoff Plate
Obstacle Problem
A Posteriori Error Estimates
Finite Element
Finite element method
Formulation
Evidence

Keywords

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

Cite this

Gustafsson, Tom T. ; Stenberg, Rolf ; Videman, Juha. / A stabilised finite element method for the plate obstacle problem. In: BIT Numerical Mathematics. 2019 ; Vol. 59, No. 1. pp. 97-124.
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A stabilised finite element method for the plate obstacle problem. / Gustafsson, Tom T.; Stenberg, Rolf (Corresponding Author); Videman, Juha.

In: BIT Numerical Mathematics, Vol. 59, No. 1, 04.03.2019, p. 97-124.

Research output: Contribution to journalArticleScientificpeer-review

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