A multi-domain method for solving numerically multi-scale elliptic problems |
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Authors: | Roland Glowinski Jiwen He Jacques Rappaz Joël Wagner |
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Institution: | 1. Dept. 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 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. To cite this article: R. Glowinski et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004). |
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