Uniformly stable rectangular elements for fourth order elliptic singular perturbation problems
Numerical Analysis
2011-01-07 v1
Abstract
This paper analyzes rectangular finite element methods for fourth order elliptic singular perturbation problems. We show that the non- rectangular Morley element is uniformly convergent in the energy norm with respect to the perturbation parameter. We also propose a extended high order rectangular Morley element and prove the uniform convergence. Finally, we do some numerical experiments to confirm the theoretical results.
Cite
@article{arxiv.1101.1218,
title = {Uniformly stable rectangular elements for fourth order elliptic singular perturbation problems},
author = {Li Wang and Xiaoping Xie},
journal= {arXiv preprint arXiv:1101.1218},
year = {2011}
}