Journal article
On simplified spherical harmonics equations for the radiative transfer equation
Journal of Mathematical Chemistry, Vol.49(8), pp.1785-1797
09/2011
DOI: 10.1007/s10910-011-9858-8
Abstract
The radiative transfer equation (RTE) arises in a wide range of applications in sciences and engineering. Due to the high dimension and complicated form of the RTE, it is challenging to solve the equation directly. In the literature, several approximation methods were developed for the RTE. One approximation method, the simplified spherical harmonics (SP N ) method, provides an efficient way to generate good approximate solutions of the RTE with high absorption and small geometries. The main purpose of the paper is to study well-posedness of the simplified spherical harmonics system. The weak formulation used in the proof of the solution existence and uniqueness provides a starting point for developing the Galerkin finite element method to solve the simplified spherical harmonics system.
Details
- Title: Subtitle
- On simplified spherical harmonics equations for the radiative transfer equation
- Creators
- Hao Zheng - Department of Chemistry Zhejiang University Hangzhou 310027 ChinaWeimin Han - Department of Mathematics and Program in Applied Mathematical and Computational Sciences University of Iowa Iowa 52242 USA
- Resource Type
- Journal article
- Publication Details
- Journal of Mathematical Chemistry, Vol.49(8), pp.1785-1797
- Publisher
- Springer Netherlands; Dordrecht
- DOI
- 10.1007/s10910-011-9858-8
- ISSN
- 0259-9791
- eISSN
- 1572-8897
- Language
- English
- Date published
- 09/2011
- Academic Unit
- Mathematics
- Record Identifier
- 9983985850102771
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