Convergence of adaptive finite element methods for eigenvalue problems
Numerical Analysis
2008-03-05 v1
Abstract
In this article we prove convergence of adaptive finite element methods for second order elliptic eigenvalue problems. We consider Lagrange finite elements of any degree and prove convergence for simple as well as multiple eigenvalues under a minimal refinement of marked elements, for all reasonable marking strategies, and starting from any initial triangulation.
Cite
@article{arxiv.0803.0365,
title = {Convergence of adaptive finite element methods for eigenvalue problems},
author = {Eduardo M. Garau and Pedro Morin and Carlos Zuppa},
journal= {arXiv preprint arXiv:0803.0365},
year = {2008}
}