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A stabilised finite element method for the plate obstacle problem

  • Tom Gustafsson
  • Rolf Stenberg
  • Juha Videman
Article
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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 \(C^1\)-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.

Keywords

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

Mathematics Subject Classification

65N30 65K15 74S05 

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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.VTT Technical Research Centre of Finland LtdEspooFinland
  2. 2.Department of Mathematics and Systems AnalysisAalto UniversityAaltoFinland
  3. 3.CAMGSD/Departamento de Matemática, Instituto Superior TécnicoUniversidade de LisboaLisbonPortugal

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