4 papers · 1 filter
Multigrid method for nonlinear eigenvalue problems based on Newton iteration
Fei Xu, Manting Xie, Meiling Yue
In this paper, a novel multigrid method based on Newton iteration is proposed to solve nonlinear eigenvalue problems. Instead of handling the eigenvalue and eigenfunction s…
An Efficient Adaptive Finite Element Method for Eigenvalue Problems
Qichen Hong, Hehu Xie, Fei Xu
The aim of this paper is to propose an efficient adaptive finite element method for eigenvalue problems based on the multilevel correction scheme and inverse power method. This met…
On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation
Guanghui Hu, Hehu Xie, Fei Xu
Based on the numerical method proposed in [G. Hu, X. Xie, F. Xu, J. Comput. Phys., 355 (2018), 436-449.] for Kohn-Sham equation, further improvement on the efficiency is obtained i…
A Parallel Augmented Subspace Method for Eigenvalue Problems
Fei Xu, Hehu Xie, Ning Zhang
A type of parallel augmented subspace scheme for eigenvalue problems is proposed by using coarse space in the multigrid method. With the help of coarse space in multigrid method, s…