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

MathSciNet review:
2983019

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0025-5718-2012-02605-6

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.