Solution of Radiative Transfer Problems with Finite Elements

Guido Kanschat ()
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Guido Kanschat: Universität Heidelberg, Institut für Angewandte Mathematik

A chapter in Numerical Methods in Multidimensional Radiative Transfer, 2009, pp 49-98 from Springer

Abstract: 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.

Date: 2009
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DOI: 10.1007/978-3-540-85369-5_5

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