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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. This correction scheme can improve the efficiency of solving eigenvalue problems by the finite element method.<\/p>","DOI":"10.1090\/s0025-5718-2014-02825-1","type":"journal-article","created":{"date-parts":[[2014,3,10]],"date-time":"2014-03-10T17:48:30Z","timestamp":1394473710000},"page":"71-88","source":"Crossref","is-referenced-by-count":81,"title":["A multi-level correction scheme for eigenvalue problems"],"prefix":"10.1090","volume":"84","author":[{"given":"Qun","family":"Lin","sequence":"first","affiliation":[]},{"given":"Hehu","family":"Xie","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2014,3,10]]},"reference":[{"issue":"2","key":"1","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1016\/j.cam.2004.12.015","article-title":"Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems","volume":"182","author":"Andreev, A. B.","year":"2005","journal-title":"J. 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