Theoretical and Numerical Analysis of an Initial-Boundary Value Problem for the Radiative Transfer Equation with Fresnel Matching Conditions.

Autor: Kim, A., Prokhorov, I. V.
Předmět:
Zdroj: Computational Mathematics & Mathematical Physics; May2018, Vol. 58 Issue 5, p735-749, 15p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index