95 citations · 275 across the 50 of their papers we have counts for
8 papers · 1 filter
A Multilevel Correction Method for Interior Transmission Eigenvalue Problem
Hehu Xie, Xinming Wu
In this paper, we give a numerical analysis for the transmission eigenvalue problem by the finite element method. A type of multilevel correction method is proposed to solve the tr…
A Multilevel Newton Iteration Method for Eigenvalue Problems
Yunhui He, Yu Li, Hehu Xie
We propose a new type of multilevel method for solving eigenvalue problems based on Newton iteration. With the proposed iteration method, solving eigenvalue problem on the finest f…
The weak Galerkin method for eigenvalue problems
Hehu Xie, Qilong Zhai, Ran Zhang
This article is devoted to computing the eigenvalue of the Laplace eigenvalue problem by the weak Galerkin (WG) finite element method with emphasis on obtaining lower bounds. The W…
A Multilevel Correction Scheme for Nonsymmetric Eigenvalue Problems by Finite Element Methods
Hehu Xie, Zhimin Zhang
A multilevel correction scheme is proposed to solve defective and nodefective of nonsymmetric partial differential operators by the finite element method. The method includes multi…
A Cascadic Multigrid Method for GPE Problem
Xiaole Han, Hehu Xie
A cascadic multigrid method is proposed for the GPE problem based on the multilevel correction scheme. With this new scheme, the ground state eigenvalue problem on the finest space…
An Algebraic Multigrid Method for Eigenvalue Problems in Some Different Cases
Ning Zhang, Xiaole Han, Yunhui He +2
The aim of this paper is to develop an algebraic multigrid method to solve eigenvalue problems based on the combination of the multilevel correction scheme and the algebraic multig…
Sharp Error Bounds for Piecewise Polynomial Approximation: Revisit and Application to Elliptic PDE Eigenvalue Computation
Hehu Xie, Zhimin Zhang
In this paper, we revisit approximation properties of piecewise polynomial spaces, which contain more than but not . We develop more accurate upper and…
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…