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 …

In this paper, an adaptive finite element method is proposed for solving Kohn–Sham
equation with the multilevel correction technique. In the method, the Kohn–Sham equation is …

We present a method for the fast computation of the eigenpairs of a bijective positive
symmetric linear operator L. The method is based on a combination of operator adapted …

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 …

Stochastic partial differential equation (PDE) eigenvalue problems (EVPs) often arise in the
field of uncertainty quantification, whereby one seeks to quantify the uncertainty in an …

A type of parallel augmented subspace scheme for eigenvalue problems is proposed by
using coarse space in the multigrid method. With the help of coarse space in the multigrid …

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 …

An adaptive finite element method for eigenvalue problems is proposed based on the
multilevel correction scheme. Different from the standard adaptive finite element method …

In this paper, we present a nonnested augmented subspace algorithm and its multilevel
correction method for solving elliptic eigenvalue problems with curved interfaces. The …