Convergence and optimality of the adaptive Morley element method
Numerical Analysis
2013-09-17 v1
Abstract
This paper is devoted to the convergence and optimality analysis of the adaptive Morley element method for the fourth order elliptic problem. A new technique is developed to establish a quasi-orthogonality which is crucial for the convergence analysis of the adaptive nonconforming method. By introducing a new parameter-dependent error estimator and further establishing a discrete reliability property, sharp convergence and optimality estimates are then fully proved for the fourth order elliptic problem.
Keywords
Cite
@article{arxiv.1309.3606,
title = {Convergence and optimality of the adaptive Morley element method},
author = {Jun Hu and Zhongci Shi and Jinchao Xu},
journal= {arXiv preprint arXiv:1309.3606},
year = {2013}
}