Theoretical and Numerical Analysis of an Initial-Boundary Value Problem for the Radiative Transfer Equation with Fresnel Matching Conditions |
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| Authors: | A. Kim I. V. Prokhorov |
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| Affiliation: | 1.Institute of Applied Mathematics, Far Eastern Branch,Russian Academy of Sciences,Vladivostok,Russia;2.Far Eastern Federal University,Vladivostok,Russia |
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| Abstract: | A Cauchy problem for the time-dependent radiative transfer equation in a three-dimensional multicomponent medium with generalized matching conditions describing Fresnel reflection and refraction at the interface of the media is considered. The unique solvability of the problem is proven, a Monte Carlo method for solving the initial-boundary value problem is developed, and computational experiments for different implementations of the algorithm are conducted. |
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