42 citations · 47 across the 8 of their papers we have counts for
8 papers
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…
An Efficient Multigrid Method for Ground State Solution of Bose-Einstein Condensates
Hehu Xie, Fei Xu, Ning Zhang
An efficient multigrid method is proposed to compute the ground state solution of Bose-Einstein condensations by the finite element method based on the combination of the multigrid…
Finite Element Methods For Wave Propagation With Debye Polarization In Nonlinear Dielectric Materials
Qiumei Huang, Shanghui Jia, Fei Xu +2
In this paper, we consider the wave propagation with Debye polarization in nonlinear dielectric materials. For this model, the Rother's method is employed to derive the well-posedn…
A Full Multigrid Method For Semilinear Elliptic Equation
Hehu Xie, Fei Xu
A full multigrid finite element method is proposed for semilinear elliptic equations. The main idea is to transform the solution of the semilinear problem into a series of solution…
A Full Multigrid Method for Nonlinear Eigenvalue Problems
Shanghui Jia, Hehu Xie, Manting Xie +1
This paper is to introduce a type of full multigrid method for the nonlinear eigenvalue problem. The main idea is to transform the solution of nonlinear eigenvalue problem into a s…