Convergence of Adaptive Finite Element Approximations for Nonlinear Eigenvalue Problems
Numerical Analysis
2010-01-15 v1 Mathematical Physics
math.MP
Abstract
In this paper, we study an adaptive finite element method for a class of a nonlinear eigenvalue problems that may be of nonconvex energy functional and consider its applications to quantum chemistry. We prove the convergence of adaptive finite element approximations and present several numerical examples of micro-structure of matter calculations that support our theory.
Cite
@article{arxiv.1001.2344,
title = {Convergence of Adaptive Finite Element Approximations for Nonlinear Eigenvalue Problems},
author = {H. Chen and X. Gong and L. He and A. Zhou},
journal= {arXiv preprint arXiv:1001.2344},
year = {2010}
}
Comments
24 pages, 12 figures