@Article{AAMM-3-493, author = {Chen , HuajieGong , XingaoHe , Lianhua and Zhou , Aihui}, title = {Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2011}, volume = {3}, number = {4}, pages = {493--518}, abstract = {

In this paper, we study an adaptive finite element method for a class of nonlinear eigenvalue problems resulting from quantum physics that may have a nonconvex energy functional. We prove the convergence of adaptive finite element approximations and present several numerical examples of micro-structure of matter calculations that support our theory.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m1057}, url = {http://global-sci.org/intro/article_detail/aamm/180.html} }