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RADIATIVE TRANSFER - V. Proceedings of the Fifth International Symposium on Radiative Transfer
June, 17-22, 2007, Bodrum, Turkey

DOI: 10.1615/ICHMT.2007.RadTransfProc


ISBN Print: 978-1-56700-243-0

ISSN Online: 2642-5629

ISSN Flash Drive: 2642-5661

SPARSE FINITE ELEMENTS FOR NON-SCATTERING RADIATIVE TRANSFER IN DIFFUSE REGIMES

page 10
DOI: 10.1615/ICHMT.2007.RadTransfProc.110
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RÉSUMÉ

The stationary monochromatic radiative transfer equation is posed in five dimensions, with the intensity depending on both a position in a three-dimensional domain as well as a direction. In order to overcome the high dimensionality of the problem, we propose a new multiscale Galerkin Finite Element discretizaton that, for non-scattering radiative transfer problems in diffuse regimes, reduces the complexity of the problem to the number of degrees of freedom in physical space only (up to logarithmic terms).
Numerical test examples for translation invariant problems with respect to the z-axis show that our method is clearly superior to a full least-squares finite-element discretization: essentially the same accuracy with respect to incident radiation and heat flux is achieved with significantly fewer degrees of freedom.

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