A multigrid method for eigenvalue problems based on shifted-inverse power technique

A multigrid method is proposed to solve eigenvalue problems by means of the finite element method based on the shifted-inverse power iteration technique. With this scheme, solving eigenvalue problem is transformed to solving a series of nonsingular boundary value problems on multilevel meshes. As replacing the difficult eigenvalue solving by an easier solving of boundary value problems, the multigrid way can improve the overall efficiency of the eigenvalue problem solving. Some numerical experiments are presented to validate the efficiency of this new method.