Solution of radiative transfer problems with finite elements

Mathematical modeling for monochromous radiative transfer problems is reviewed. Suitable boundary conditions for well-posed problems are introduced. Finite element discretizations for the integral operator in the angular variable and the transport operator in space are discussed. Adaptive algorithms...

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Bibliographic Details
Main Author: Kanschat, Guido (Author)
Format: Chapter/Article
Language:English
Published: 2009
In: Numerical methods in multidimensional radiative transfer
Year: 2009, Pages: 49-98
DOI:10.1007/978-3-540-85369-5_5
Online Access:Verlag, Volltext: http://dx.doi.org/10.1007/978-3-540-85369-5_5
Verlag, Volltext: https://link.springer.com/chapter/10.1007/978-3-540-85369-5_5
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Author Notes:Guido Kanschat
Description
Summary:Mathematical modeling for monochromous radiative transfer problems is reviewed. Suitable boundary conditions for well-posed problems are introduced. Finite element discretizations for the integral operator in the angular variable and the transport operator in space are discussed. Adaptive algorithms and error estimates are explained. The structure of the resulting discrete linear system is analyzed and solution methods are suggested.
Item Description:Gesehen am 26.06.2018
Physical Description:Online Resource
ISBN:9783540853695
DOI:10.1007/978-3-540-85369-5_5