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It is proven that the BEPS and the FAC preconditioners are spectrally equivalent to the corresponding finite difference schemes, including a nonsymmetric one, which is of higher\u2010order accuracy. Numerical experiments that demonstrate the fast convergence of the preconditioned iterative methods (CG and GCG\u2010LS in the nonsymmetric case) are presented.<\/jats:p>","DOI":"10.1002\/nla.1680010403","type":"journal-article","created":{"date-parts":[[2005,10,14]],"date-time":"2005-10-14T19:52:02Z","timestamp":1129319522000},"page":"337-368","source":"Crossref","is-referenced-by-count":16,"title":["Local refinement techniques for elliptic problems on cell\u2010centered grids; II. Optimal order two\u2010grid iterative methods"],"prefix":"10.1002","volume":"1","author":[{"given":"R. E.","family":"Ewing","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R. 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