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Solution of Radiative Transfer Problems with Finite Elements

In: Numerical Methods in Multidimensional Radiative Transfer

Author

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  • Guido Kanschat

    (Universität Heidelberg, Institut für Angewandte Mathematik)

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.

Suggested Citation

  • Guido Kanschat, 2009. "Solution of Radiative Transfer Problems with Finite Elements," Springer Books, in: Guido Kanschat & Erik Meinköhn & Rolf Rannacher & Rainer Wehrse (ed.), Numerical Methods in Multidimensional Radiative Transfer, pages 49-98, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-85369-5_5
    DOI: 10.1007/978-3-540-85369-5_5
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