Year: 2015
Author: Qun Gu, Weiguo Gao
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 6 : pp. 557–575
Abstract
We discuss the inexact two-grid methods for solving eigenvalue problems, including both partial differential and integral equations. Instead of solving the linear system exactly in both traditional two-grid and accelerated two-grid method, we point out that it is enough to apply an inexact solver to the fine grid problems, which will cut down the computational cost. Different stopping criteria for both methods are developed for keeping the optimality of the resulting solution. Numerical examples are provided to verify our theoretical analyses.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1502-m4539
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 6 : pp. 557–575
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Inexact Two-grid Eigenvalue Eigenvector Finite element method Convergence rate.
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