Artikel,

A stabilised finite element method for the plate obstacle problem

, , und .
BIT Numerical Mathematics, 59 (1): 97--124 (01.03.2019)
DOI: 10.1007/s10543-018-0728-7

Zusammenfassung

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\$\$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.

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