NDLI: On simplified spherical harmonics equations for the radiative transfer equation

Content Provider	Springer Nature Link
Author	Zheng, Hao Han, Weimin
Copyright Year	2011
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.
Starting Page	1785
Ending Page	1797
Page Count	13
File Format	PDF
ISSN	02599791
Journal	Journal of Mathematical Chemistry
Volume Number	49
Issue Number	8
e-ISSN	15728897
Language	English
Publisher	Springer Netherlands
Publisher Date	2011-06-05
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Radiative transfer equation Simplified spherical harmonics (SP $_{ N }$) method Solution existence Uniqueness Physical Chemistry Math. Applications in Chemistry Theoretical and Computational Chemistry
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Chemistry

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On simplified spherical harmonics equations for the radiative transfer equation