Hehu Xie, Zhimin Zhang
Published 2015-05-23Version 1
A multilevel correction scheme is proposed to solve nonsymmetric eigenvalue problems by the finite element method. The method includes multi correction steps in a sequence of finite element spaces. In each correction step, we only need to solve two source problems on a finer finite element space and two eigenvalue problems on the coarsest finite element space. The accuracy of the eigenpair approximation is improved after each correction step. This correction scheme improves overall efficiency of the finite element method in solving nonsymmetric eigenvalue problems.
Comments: 17 pages, 16 figures
A Multi-level Correction Scheme for Eigenvalue Problems
Nonlinear Model Reduction Based On The Finite Element Method With Interpolated Coefficients: Semilinear Parabolic Equations
Local energy estimates for the finite element method on sharply varying grids
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