A stabilised finite element method for the plate obstacle problem

Tom Gustafsson, Rolf Stenberg*, Juha Videman

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)
90 Downloads (Pure)


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
Issue number1
Early online date21 Sep 2018
Publication statusPublished - 4 Mar 2019
MoE publication typeA1 Journal article-refereed


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


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