7 citations · 8 across the 5 of their papers we have counts for
5 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…
Guaranteed lower eigenvalue bounds for Steklov operators using conforming finite element methods
Taiga Nakano, Qin Li, Meiling Yue +1
For the eigenvalue problem of the Steklov differential operator, by following Liu's approach, an algorithm utilizing the conforming finite element method (FEM) is proposed to provi…
Energy Error Estimates of Subspace Method and Multigrid Algorithm for Eigenvalue Problems
Yunhui He, Qichen Hong, Hehu Xie +2
This paper is to give a new understanding and applications of the subspace projection method for selfadjoint eigenvalue problems. A new error estimate in the energy norm, which is…
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…
Fully Computable Error Bounds for Eigenvalue Problem
Hehu Xie, Meiling Yue, Ning Zhang
This paper is concerned with the computable error estimates for the eigenvalue problem which is solved by the general conforming finite element methods on the general meshes. Based…