TY - JOUR
T1 - A Shifted-Inverse Adaptive Multigrid Method for the Elastic Eigenvalue Problem
AU - Gong , Bo
AU - Han , Jiayu
AU - Sun , Jiguang
AU - Zhang , Zhimin
JO - Communications in Computational Physics
VL - 1
SP - 251
EP - 273
PY - 2019
DA - 2019/10
SN - 27
DO - http://doi.org/10.4208/cicp.OA-2018-0293
UR - https://global-sci.org/intro/article_detail/cicp/13321.html
KW - Elastic eigenvalue problem, shifted-inverse iteration, adaptive multigrid method.
AB - <p style="text-align: justify;">A shifted-inverse iteration is proposed for the finite element discretization
of the elastic eigenvalue problem. The method integrates the multigrid scheme and
adaptive algorithm to achieve high efficiency and accuracy. Error estimates and optimal convergence for the proposed method are proved. Numerical examples show that
the proposed method inherits the advantages of both ingredients and can compute low
regularity eigenfunctions effectively.</p>