Asymptotic numerical analysis of the diffusion‐discrete absorption equation |
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Authors: | P Kurbatova G Panasenko V Volpert |
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Institution: | 1. Université de Lyon, Université Lyon 1, CNRS UMR 5208, Institut Camille Jordan, , 43 blvd du 11 novembre 1918, F‐69622 Villeurbanne‐Cedex, France;2. LA MUSE EA 3989, UniversitéJean Monnet, , 23 rue Paul Michelon, 42023 Saint‐Etienne Cedex 2, France |
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Abstract: | The diffusion‐discrete absorption (DDA) equation is considered. This equation contains the standard diffusion term and the discrete sorption expressed by a sum of large number of δ‐functions with the support at a non‐uniform mesh multiplied by the unknown function (concentration). The main result of the paper is the homogenization (continualization) of this equation when the small parameter is the characteristic step h of the mesh. The error estimates are proved for the difference of the exact solution of the DDA equation and the solution of the homogenized differential equation. Copyright © 2012 John Wiley & Sons, Ltd. |
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Keywords: | diffusion‐discrete absorption equation homogenization |
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