A stabilised finite element method for the plate obstacle problem

Research output: Contribution to journalArticleScientificpeer-review

Researchers

Research units

  • VTT Technical Research Centre of Finland
  • Universidade Lisboa

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.

Details

Original languageEnglish
Number of pages28
JournalBIT Numerical Mathematics
Publication statusPublished - 21 Sep 2018
MoE publication typeA1 Journal article-refereed

    Research areas

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

ID: 29744109