Title
Numerical study of a domain decomposition method for a two-scale linear transport equation
Abstract
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
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 Yang1459.17
François Golse272.42
Zhongyi Huang36712.67
Shi Jin457285.54