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Approximation of multi-scale elliptic problems using patches of finite elements

In this paper we present a method to solve numerically elliptic problems with multi-scale data using multiple levels of not necessarily nested grids. The method consists in calculating successive corrections to the solution in patches whose discretizations are not necessarily conforming. It resembles the FAC method (see Math. Comp. 46 (174) (1986) 439-456) and its convergence is obtained by a domain decomposition technique (see Math. Comp. 57 (195) (1991) 1-21). However it is of much more flexible use in comparison to the latter. (C) 2003 Academie des sciences. Published by Editions scientifiques et medicales Elsevier SAS. All rights reserved.

    Note:

    Univ Houston, Dept Math, Houston, TX 77204 USA. Swiss Fed Inst Technol, Sect Math, CH-1015 Lausanne, Switzerland. Glowinski, R, Univ Houston, Dept Math, 4800 Calhoun Rd, Houston, TX 77204 USA. roland@math.uh.edu jiwenhe@math.uh.edu jacques.rappaz@epfl.ch joel.wagner@epfl.ch

    ISI Document Delivery No.: 768DA

    Times Cited: 3

    Cited Reference Count: 7

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    Record created on 2006-08-24, modified on 2016-08-08

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