Shifted inverse iteration based multigrid methods for the quad-curl eigenvalue problem

摘要

This paper is devoted to multgrid methods for solving the quad-curl eigenvalue problem. The multgrid methods based on the Rayleigh quotient iteration and the inverse iteration with fixed shift are proposed. We prove the error estimates for both methods. Numerical experiments confirm our theoretical analysis and validate the efficiency of both methods. (C) 2019 Elsevier Inc. All rights reserved.