2 papers
math.NA2022
Symmetrized two-scale finite element discretizations for partial differential equations with symmetric solutions
Pengyu Hou, Fang Liu, Aihui Zhou
In this paper, a symmetrized two-scale finite element method is proposed for a class of partial differential equations with symmetric solutions. With this method, the finite elemen…
math.NA2019
Eigenfunction Behavior and Adaptive Finite Element Approximations of Nonlinear Eigenvalue Problems in Quantum Physics
Bin Yang, Aihui Zhou
In this paper, we investigate a class of nonlinear eigenvalue problems resulting from quantum physics. We first prove that the eigenfunction cannot be a polynomial on any open set,…