A mortar element method for hyperbolic problems |
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Authors: | Yves Bourgault Abderrazzak El Boukili |
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Institution: | Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, K1N 6N5, Canada |
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Abstract: | A non-conforming finite element method based on non-overlapping domain decomposition is extended to linear hyperbolic problems. The method is based on streamline-diffusion/discontinuous Galerkin methods and the mortar element method. A weak flux continuity condition at the inflow interface is enforced by means of Lagrange multipliers. This weak flux continuity condition replaces the usual mortar condition for elliptic problems, and allows non-matching grids at the subdomain interfaces. To cite this article: Y. Bourgault, A. El Boukili, C. R. Acad. Sci. Paris, Ser. I 338 (2004). |
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