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It is shown that the solution of a quantum eigenvalue problem on a fine grid may be reduced to the solution of an eigenvalue problem on a relatively coarse grid, and the solutions of linear algebraic systems on a globally mesoscopic grid and the locally fine grid, and the resulting solution is still very satisfactory.<\/jats:p>","DOI":"10.1137\/06067780x","type":"journal-article","created":{"date-parts":[[2008,1,30]],"date-time":"2008-01-30T18:05:46Z","timestamp":1201716346000},"page":"295-324","source":"Crossref","is-referenced-by-count":57,"title":["Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems"],"prefix":"10.1137","volume":"46","author":[{"given":"Xiaoying","family":"Dai","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Aihui","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2008,1,16]]},"reference":[{"key":"R1","unstructured":"R. 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