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Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics

dc.contributor.author Li, Q
dc.contributor.author Lu, Jianfeng
dc.contributor.author Sun, W
dc.date.accessioned 2017-04-26T17:39:29Z
dc.date.available 2017-04-26T17:39:29Z
dc.date.issued 2015-07-01
dc.identifier.issn 0021-9991
dc.identifier.uri https://hdl.handle.net/10161/14099
dc.description.abstract © 2015 Elsevier Inc.In this paper we construct numerical schemes to approximate linear transport equations with slab geometry by diffusion equations. We treat both the case of pure diffusive scaling and the case where kinetic and diffusive scalings coexist. The diffusion equations and their data are derived from asymptotic and layer analysis which allows general scattering kernels and general data. We apply the half-space solver in [20] to resolve the boundary layer equation and obtain the boundary data for the diffusion equation. The algorithms are validated by numerical experiments and also by error analysis for the pure diffusive scaling case.
dc.relation.ispartof Journal of Computational Physics
dc.relation.isversionof 10.1016/j.jcp.2015.03.014
dc.title Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics
dc.type Journal article
pubs.begin-page 141
pubs.end-page 167
pubs.organisational-group Chemistry
pubs.organisational-group Duke
pubs.organisational-group Mathematics
pubs.organisational-group Physics
pubs.organisational-group Trinity College of Arts & Sciences
pubs.publication-status Published
pubs.volume 292
dc.identifier.eissn 1090-2716


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