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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2005 Volume 2, Pages 88–101 (Mi semr20)

This article is cited in 3 papers

Research papers

A numerical solution of diffraction problems for the radiation transport equation

I. V. Prokhorov, I. P. Yarovenko

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: In the paper boundary problems for the stationary integro-differential transport equation with generalized conditions of conjunction on the media interfaces are posed and numerically investigated. Methods of solution of a direct problem for the transport equation are proposed conformably to the problem of 3-D objects visualization and an optimization problem related with optics of clarifying coatings and to the problem of media masking. Results of proper numerical experiments are presented.

UDC: 517.958, 519.63

MSC: 35Q60

Received May 1, 2005, published August 16, 2005



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