95 citations · 275 across the 50 of their papers we have counts for
8 papers · 1 filter
A multilevel correction method for optimal controls of elliptic equation
Wei Gong, Hehu Xie, Ningning Yan
We propose in this paper a multilevel correction method to solve optimal control problems constrained by elliptic equations with the finite element method. In this scheme, solving…
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 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…
A Multigrid Method for Nonlinear Eigenvalue Problems
Hehu Xie
A multigrid method is proposed for solving nonlinear eigenvalue problems by the finite element method. With this new scheme, solving nonlinear eigenvalue problem is decomposed to a…
Local a Priori Estimate on the General Scale Subdomains
Xiaole Han, Hehu Xie
The local a priori estimate for the finite element approximation is essential for underlying the local and parallel technique. It is well known that the constant coefficients in th…
Local and Parallel Finite Element Algorithm Based On Multilevel Discretization for Eigenvalue Problem
Yu Li, Xiaole Han, Hehu Xie +1
A local and parallel algorithm based on the multilevel discretization is proposed in this paper to solve the eigenvalue problem by the finite element method. With this new scheme,…
A Multigrid Method Based On Shifted-Inverse Power Technique for Eigenvalue Problems
Hongtao Chen, Yunhui He, Yu Li +1
A multigrid method is proposed in this paper to solve eigenvalue problems by the finite element method based on the shifted-inverse power iteration technique. With this scheme, sol…