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 …

The shifted-inverse iteration based on the multigrid discretizations developed in recent years
is an efficient computation method for eigenvalue problems. In this paper, for general self …

In this paper, based on a domain decomposition method, we propose an efficient two-level
preconditioned Helmholtz-Jacobi-Davidson (PHJD) method for solving the algebraic …

Due to the indefiniteness and poor spectral properties, the discretized linear algebraic
system of the vector Laplacian by mixed finite element methods is hard to solve. A block …

This paper is devoted to a-priori and a-posteriori error analysis of discontinuous Galerkin
(DG) method for the Maxwell eigenvalue problem. The discrete compactness of DG space is …

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

In this paper, for biharmonic eigenvalue problems with clamped boundary condition in R n
which include plate vibration problem and plate buckling problem, we primarily study the two …

Numerical methods for computing Steklov eigenvalues have attracted the attention of
academia for their important physical background and wide applications. In this article we …

In this paper, we propose two stabilized two-grid finite element discretizations for nearly
incompressible elasticity eigenvalue problem and give the error estimates of eigenvalues …

本文讨论流固振动Laplace 模型, 首先建立该问题的基于Rayleigh 商移位反迭代的多网格离散
方案, 利用该方案将在细网格上求解特征值问题归结为在粗网格上解特征值问题和在细网格上解 …