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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