A posteriori error analysis for nonconforming approximation of multiple eigenvalues
Numerical Analysis
2014-11-11 v2
Abstract
In this paper we study an a posteriori error indicator introduced in E. Dari, R.G. Duran, C. Padra, Appl. Numer. Math., 2012, for the approximation of the Laplace eigenvalue problem with Crouzeix-Raviart non-conforming finite elements. In particular, we show that the estimator is robust also in presence of eigenvalues of multiplicity greater than one. Some numerical examples confirm the theory and illustrate the convergence of an adaptive algorithm when dealing with multiple eigenvalues.
Keywords
Cite
@article{arxiv.1404.5560,
title = {A posteriori error analysis for nonconforming approximation of multiple eigenvalues},
author = {Daniele Boffi and Ricardo G. Durán and Francesca Gardini and Lucia Gastaldi},
journal= {arXiv preprint arXiv:1404.5560},
year = {2014}
}
Comments
25 pages, 12 figures. Dedicated to Prof. Martin Costabel on the occasion of his 65th anniversary. Revised version based on referees' comment on the original manuscript