A multigrid method is proposed to solve the eigenvalue problem by the finite element
method based on the combination of the multilevel correction scheme for the eigenvalue …

In this paper, a full (nested) multigrid scheme is proposed to solve eigenvalue problems. The
idea here is to use a correction method to transform the eigenvalue problem solving to a …

We introduce a type of full multigrid method for the nonlinear eigenvalue problem. The main
idea is to transform the solution of the nonlinear eigenvalue problem into a series of …

This paper provides a new two-grid discretization method for solving partial differential
equation or integral equation eigenvalue problems. In 2001, Xu and Zhou introduced a …

A new type of iteration method is proposed in this paper to solve the Steklov eigenvalue
problem by the finite element method. In this scheme, solving the Steklov eigenvalue …

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 …

Numerical methods for the transmission eigenvalue problems are hot topics in recent years.
Based on the work of Lin and Xie (2015), we build a multigrid method to solve the problems …

Based on the work of Xu and Zhou Math. Comp., 69 (2000), pp. 881--909, this paper
combines the local defect-correction technique and the shifted-inverse power method to …

In this paper, a type of multi-level correction scheme is proposed to solve eigenvalue
problems by the finite element method. This type of multi-level correction method includes …

Two new two-grid algorithms are proposed for solving the Maxwell eigenvalue problem. The
new methods are based on the two-grid methodology recently proposed by Xu and Zhou …