TY - JOUR
T1 - Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics
AU - Chen , Huajie
AU - Gong , Xingao
AU - He , Lianhua
AU - Zhou , Aihui
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 493
EP - 518
PY - 2011
DA - 2011/03
SN - 3
DO - http://doi.org/10.4208/aamm.10-m1057
UR - https://global-sci.org/intro/article_detail/aamm/180.html
KW - Adaptive finite element, convergence, micro-structure, nonlinear eigenvalue.
AB - <p style="text-align: justify;">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.</p>