Robust residual-based a posteriori error estimators for mixed finite element methods for fourth order elliptic singularly perturbed problems
Numerical Analysis
2016-09-16 v1
Abstract
We consider mixed finite element approximation of a singularly perturbed fourth-order elliptic problem with two different boundary conditions, and present a new measure of the error, whose components are balanced with respect to the perturbation parameter. Robust residual-based a posteriori estimators for the new measure are obtained, which are achieved via a novel analytical technique based on an approximation result. Numerical examples are presented to validate our theory.
Cite
@article{arxiv.1609.04506,
title = {Robust residual-based a posteriori error estimators for mixed finite element methods for fourth order elliptic singularly perturbed problems},
author = {Shaohong Du and Runchang Lin and Zhimin Zhang},
journal= {arXiv preprint arXiv:1609.04506},
year = {2016}
}
Comments
21 pages, 6 figures