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

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  • Feiyan Li
  • Hai Bi

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.

Suggested Citation

  • Feiyan Li & Hai Bi, 2016. "A Type of Multigrid Method Based on the Fixed-Shift Inverse Iteration for the Steklov Eigenvalue Problem," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-13, July.
  • Handle: RePEc:hin:jnlamp:4691759
    DOI: 10.1155/2016/4691759
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