42 citations · 64 across the 4 of their papers we have counts for
4 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…
Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates
Hehu Xie, Manting Xie
In this paper, we propose a computable error estimate of the Gross-Pitaevskii equation for ground state solution of Bose-Einstein condensates by general conforming finite element m…
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…
A Multigrid Method for the Ground State Solution of Bose-Einstein Condensates
Hehu Xie, Manting Xie
A multigrid method is proposed to compute the ground state solution of Bose-Einstein condensations by the finite element method based on the multilevel correction for eigenvalue pr…