APPLICATION OF THE MOSAIC-SKELETON MATRIX APPROXIMATION METHOD IN ELECTROMAGNETIC SCATTERING PROBLEMS

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Abstract

Algorithms for solving electromagnetic wave scattering problems in the frequency domain using the method of integral equations, as well as using a model of physical optics that takes into account the re-reflection of waves, are considered. In both cases, the main computational costs, both in terms of calculation time and in terms of the required machine memory, are associated with storing dense matrices of the interaction of discrete elements and performing operations with these matrices. The features of applying the mosaic-skeleton approximation method to such matrices and the possibilities of this method in this class of problems are analyzed.

About the authors

A. V Setukha

Lomonosov Moscow State University; ICM RAS

Email: setuhnav@rambler.ru
Moscow, Russia; Moscow, Russia

S. L Stavtsev

ICM RAS

Email: sstass2000@mail.ru
Moscow, Russia

S. N Fetisov

Lyulka Design Bureau, UEC Ufa Engine–Building Industrial Group branch

Email: sergey.fetisov@okb.umpo.ru
Moscow, Russia

A. N Mukhin

Lyulka Design Bureau, UEC Ufa Engine–Building Industrial Group branch

Email: powersystems@yandex.ru
Moscow, Russia

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