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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Analysis of a numerical solver for radiative transport equation


Authors: Hao Gao and Hongkai Zhao
Journal: Math. Comp. 82 (2013), 153-172
MSC (2010): Primary 65N12
Published electronically: April 11, 2012
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Abstract: We analyze a numerical algorithm for solving radiative transport equation with vacuum or reflection boundary condition that was proposed by the authors in 2009 with angular discretization by the finite element method and spatial discretization by the discontinuous Galerkin method or the finite difference method.


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Additional Information

Hao Gao
Affiliation: Department of Mathematics, University of California, Los Angeles, California 90095-1555
Email: haog@math.ucla.edu

Hongkai Zhao
Affiliation: Department of Mathematics, University of California, Irvine, California 92697-3875
Email: zhao@math.uci.edu

DOI: http://dx.doi.org/10.1090/S0025-5718-2012-02605-6
PII: S 0025-5718(2012)02605-6
Keywords: Radiative transfer equation, discrete ordinate method, source iteration, Henyey-Greenstein function, discontinuous Galerkin method
Received by editor(s): September 13, 2011
Published electronically: April 11, 2012
Additional Notes: The work was partially supported by the NIH/NIBIB grant EB013387 and NSF grant DMS0811254.
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.