A stabilised finite element method for the plate obstacle problem

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.

References in corpus (2)

• Mixed and stabilized finite element methods for the obstacle problem
• An A Posteriori Analysis of C^0 Interior Penalty Methods for the Obstacle Problem of Clamped Kirchhoff Plates

Cited by in corpus (1)

• Adaptive finite elements for obstacle problems