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 …

Sparse eigenproblems are important for various applications in computer graphics. The
spectrum and eigenfunctions of the Laplace–Beltrami operator, for example, are …

A meshless geometric multigrid (GMG) method based on a node-coarsening algorithm is
proposed in the context of finite element method (FEM) with unstructured grids consisting of …

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 …

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, based on a domain decomposition method, we shall propose a two-level
preconditioned Helmholtz subspace iterative (PHSI) method for solving algebraic …

To predict the thermal hydraulic behavior in nuclear power plants, traditional system codes
such as RELAP, MARS, and CATHARE, designed for one-dimensional two-phase flows …

In this paper, a new type of adaptive finite element method is proposed for nonlinear
eigenvalue problems in electronic structure calculations based on the multilevel correction …