A multi-domain method for solving numerically multi-scale elliptic problems
In this paper we present a family of iterative methods to solve numerically second order elliptic problems with multi-scale data using multiple levels of grids. These methods are based upon the introduction of a Lagrange multiplier to enforce the continuity of the solution and its fluxes across interfaces. This family of methods can be interpreted as a mortar element method with complete overlapping domain decomposition for solving numerically multi-scale elliptic problems. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.
WOS:000222404400015
2004
338
9
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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
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