# American Institute of Mathematical Sciences

March  2006, 1(1): 143-166. doi: 10.3934/nhm.2006.1.143

## Numerical study of a domain decomposition method for a two-scale linear transport equation

 1 Department of Mathematics, University of Wisconsin, Madison, WI 53706, United States, United States 2 Institut Universitaire de France & Département de Mathématiques et Applications, Ecole Normale Supérieure Paris, 45 rue d'Ulm, 75230 Paris cedex 05, France 3 Dept. of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Received  September 2005 Revised  November 2005 Published  January 2006

We perform a numerical study on a domain decomposition method proposed in [13] for the linear transport equation between a diffusive and a non-diffusive region. This method avoids iterating the diffusion and transport solutions as in a typical domain decomposition method. Our numerical results, in both one and two space dimensions, confirm the theoretical analysis of [13]. We also provide an improved second order method that provides a more accurate numerical solution than that proposed in [13].
Citation: Xu Yang, François Golse, Zhongyi Huang, Shi Jin. Numerical study of a domain decomposition method for a two-scale linear transport equation. Networks & Heterogeneous Media, 2006, 1 (1) : 143-166. doi: 10.3934/nhm.2006.1.143
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