2 papers
math.NA2021
Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations
Xiaoying Dai, Yan Pan, Bin Yang +1
In this paper, we study the adaptive planewave discretization for a cluster of eigenvalues of second-order elliptic partial differential equations. We first design an a posteriori…
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,…