95 citations · 96 across the 5 of their papers we have counts for
6 papers
Multilevel correction type of adaptive finite element method for Hartree-Fock equation
Fei Xu
This paper proposes an efficient algorithm for solving the Hartree--Fock equation combining a multilevel correction scheme with an adaptive refinement technique to improve computat…
A Nonnested Augmented Subspace Method for Kohn-Sham Equation
Guanghui Hu, Hehu Xie, Fei Xu +1
In this paper, a novel adaptive finite element method is proposed to solve the Kohn-Sham equation based on the moving mesh (nonnested mesh) adaptive technique and the augmented sub…
A Multigrid Method for the Ground State Solution of Bose-Einstein Condensates Based on Newton Iteration
Hehu Xie, Fei Xu, Meiling Yue
In this paper, a new kind of multigrid method is proposed for the ground state solution of Bose-Einstein condensates based on Newton iteration method. Instead of treating eigenvalu…
A Full Multigrid Method for Eigenvalue Problems
Hehu Xie
In this paper, a full (nested) multigrid scheme is proposed to solve eigenvalue problems. The idea here is to use the multilevel correction method to transform the solution of eige…
A Cascadic Multigrid Method for Eigenvalue Problem
XIaole Han, Hehu Xie
A cascadic multigrid method is proposed for eigenvalue problems based on the multilevel correction scheme. With this new scheme, an eigenvalue problem on the finest space can be so…
A Multilevel Correction Type of Adaptive Finite Element Method for Eigenvalue Problems
Hehu Xie
A type of adaptive finite element method for the eigenvalue problems is proposed based on the multilevel correction scheme. In this method, adaptive finite element method to solve…