95 citations · 275 across the 50 of their papers we have counts for
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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 Small Note About Lower Bound of Eigenvalues
Hehu Xie, Chunguang You
This paper gives a framework to produce the lower bound of eigenvalues defined in a Hilbert space by the eigenvalues defined in another Hilbert space. The method is based on using…
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 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…
Anisotropic meshes and stabilized parameters for the stabilized finite element methods
Yana Di, Hehu Xie, Xiaobo Yin
We propose a numerical strategy to generate the anisotropic meshes and select the appropriate stabilized parameters simultaneously for two dimensional convection-dominated convecti…
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…