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In this paper, a type of multi-level correction scheme is proposed to solve eigenvalue problems by the finite element method. This type of multilevel correction method includes multi correction steps in a sequence of finite element spaces. In each correction step, we only need to solve a source problem on a finer finite element space and an eigenvalue problem on the coarsest finite element space. The accuracy of the eigenpair approximation can be improved after each correction step. Thisdoi:10.1090/s0025-5718-2014-02825-1 fatcat:mdg66o324vfszdpw4uwqiyzhau