A shifted-inverse adaptive multigrid method for the elastic eigenvalue problem
Department of Mathematical Sciences
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 opti-mal 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.
Communications in Computational Physics
A shifted-inverse adaptive multigrid method for the elastic eigenvalue problem.
Communications in Computational Physics,
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