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.
@article{arxiv.1711.04166,
title = {A stabilised finite element method for the plate obstacle problem},
author = {Tom Gustafsson and Rolf Stenberg and Juha Videman},
journal= {arXiv preprint arXiv:1711.04166},
year = {2021}
}