TY - JOUR
T1 - Inexact Two-Grid Methods for Eigenvalue Problems
AU - Gu , Qun
AU - Gao , Weiguo
JO - Journal of Computational Mathematics
VL - 6
SP - 557
EP - 575
PY - 2015
DA - 2015/12
SN - 33
DO - http://doi.org/10.4208/jcm.1502-m4539
UR - https://global-sci.org/intro/article_detail/jcm/9860.html
KW - Inexact, Two-grid, Eigenvalue, Eigenvector, Finite element method, Convergence rate.
AB - <p style="text-align: justify;">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.</p>