Absorbing boundary conditionsfor diffusion equations |
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| Authors: | L. Halpern J. Rauch |
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| Affiliation: | (1) Institut Galilée, Université Paris XIII, F-93430 Villetaneuse, France , FR;(2) Centre de Mathématiques Appliquées, Ecole Polytechnique, F-91128 Palaiseau, France , FR;(3) Department of Mathematics, University of Michigan, Ann Arbor, MI 48104, USA , US;(4) Centre de Mathématiques Appliquées and Centre de Mathématiques, Ecole Polytechnique, F-91128, Palaiseau, France , FR |
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| Abstract: | Summary. We construct and analyse a family of absorbing boundary conditions for diffusion equations with variable coefficients, curved artifical boundary, and arbitrary convection. It relies on the geometric identification of the Dirichlet to Neumann map and rational interpolation of in the complex plane. The boundary conditions are stable, accurate, and practical for computations. Received December 12, 1992 / Revised version received July 4, 1994 |
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| Keywords: | Mathematics Subject Classification (1991):65 P05 |
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