Title
A C0 interior penalty method for a fourth order elliptic singular perturbation problem
Document Type
Article
Publication Date
5-30-2011
Abstract
In this paper, we develop a C interior penalty method for a fourth order singular perturbation elliptic problem in two dimensions on polygonal domains. Using some a posteriori error analysis techniques, we are able to show that the method converges in the energy norm uniformly with respect to the perturbation parameter under minimal regularity assumptions. In addition, we analyze the convergence of the numerical solution to the unperturbed second order problem. Finally, we perform some numerical experiments that back up the theoretical results. Copyright © 2011 Society for Industrial and Applied Mathematics. 0
Publication Source (Journal or Book title)
SIAM Journal on Numerical Analysis
First Page
869
Last Page
892
Recommended Citation
Brenner, S., & Neilan, M. (2011). A C0 interior penalty method for a fourth order elliptic singular perturbation problem. SIAM Journal on Numerical Analysis, 49 (2), 869-892. https://doi.org/10.1137/100786988