Title | ||
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Numerical study of a domain decomposition method for a two-scale linear transport equation |
Abstract | ||
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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]. |
Year | DOI | Venue |
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2006 | 10.3934/nhm.2006.1.143 | NETWORKS AND HETEROGENEOUS MEDIA |
Keywords | DocType | Volume |
linear transport equation,diffusion approximation,domain decomposition,numerical approximation | Journal | 1 |
Issue | ISSN | Citations |
1 | 1556-1801 | 1 |
PageRank | References | Authors |
0.44 | 1 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Xu Yang | 1 | 45 | 9.17 |
François Golse | 2 | 7 | 2.42 |
Zhongyi Huang | 3 | 67 | 12.67 |
Shi Jin | 4 | 572 | 85.54 |