Approximation of multi-scale elliptic problems using patches of finite elements |
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Authors: | Roland Glowinski Jiwen He Jacques Rappaz Joël Wagner |
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Affiliation: | 1. Department of Mathematics, University of Houston, 4800 Calhoun Road, Houston, TX 77204-3008, USA;2. Section of Mathematics, Swiss Federal Institute of Technology, 1015 Lausanne, Switzerland |
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Abstract: | 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. To cite this article: R. Glowinski et al., C. R. Acad. Sci. Paris, Ser. I 337 (2003). |
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Keywords: | Corresponding author. |
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