Convergence Rate and Quasi-Optimal Complexity of Adaptive Finite Element Computations for Multiple Eigenvalues
Numerical Analysis
2013-09-18 v2
Abstract
In this paper, we study an adaptive finite element method for multiple eigenvalue problems of a class of second order elliptic equations. By using some eigenspace approximation technology and its crucial property which is also presented in this paper, we extend the results in \cite{dai-xu-zhou08} to multiple eigenvalue problems, we obtain both convergence rate and quasi-optimal complexity of the adaptive finite element eigenvalue approximation.
Cite
@article{arxiv.1210.1846,
title = {Convergence Rate and Quasi-Optimal Complexity of Adaptive Finite Element Computations for Multiple Eigenvalues},
author = {Xiaoying Dai and Lianhua He and Aihui Zhou},
journal= {arXiv preprint arXiv:1210.1846},
year = {2013}
}
Comments
38 pages, 9 figures, 34 references. arXiv admin note: text overlap with arXiv:1201.2308 by other authors. text overlap with arXiv:1201.2308 by other authors without attribution