Mixed finite element methods for elliptic obstacle problems
Numerical Analysis
2024-06-17 v1 Numerical Analysis
Abstract
Mixed variational formulations for the first-order system of the elastic membrane obstacle problem and the second-order system of the Kirchhoff--Love plate obstacle problem are proposed. The force exerted by the rigid obstacle is included as a new unknown. A priori and a posteriori error estimates are derived for both obstacle problems. The a posteriori error estimates are based on conforming postprocessed solutions. Numerical experiments conclude this work.
Cite
@article{arxiv.2406.09605,
title = {Mixed finite element methods for elliptic obstacle problems},
author = {Thomas Führer and Francisco Fuica},
journal= {arXiv preprint arXiv:2406.09605},
year = {2024}
}