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

    7 Citations (Scopus)


    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
    JournalBIT Numerical Mathematics
    Issue number1
    Publication statusPublished - 4 Mar 2019
    MoE publication typeNot Eligible


    Funding from Tekes (Decision No. 3305/31/2015), the Finnish Cultural Foundation, the Portuguese Science Foundation (FCOMP-01-0124-FEDER-029408) and the Finnish Society of Science and Letters is greatly acknowledged.


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


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