A Type of Multigrid Method Based on the Fixed-Shift Inverse Iteration for the Steklov Eigenvalue Problem

Feiyan Li and Hai Bi

Advances in Mathematical Physics, 2016, vol. 2016, 1-13

Abstract:

For the Steklov eigenvalue problem, we establish a type of multigrid discretizations based on the fixed-shift inverse iteration and study in depth its a priori/a posteriori error estimates. In addition, we also propose an adaptive algorithm on the basis of the a posteriori error estimates. Finally, we present some numerical examples to validate the efficiency of our method.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4691759

DOI: 10.1155/2016/4691759

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