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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2014 Volume 54, Number 1, Pages 105–113 (Mi zvmmf9977)

This article is cited in 8 papers

Ellipticity of the electric field integral equation for absorbing media and the convergence of the Rao–Wilton–Glisson method

M. Yu. Medvedik, Yu. G. Smirnov

Penza State University, ul. Krasnaya 40, Penza, 440026, Russia

Abstract: The operator of the electric field integral equation is proved to be elliptic in the case of a flat screen and absorbing media. The method of quadratic forms is applied. As a result, the Rao–Wilton–Glisson method is shown to converge in the case of a flat screen in an absorbing medium.

Key words: electric field integral equation, absorbing medium, Rao–Wilton–Glisson method, convergence of an algorithm.

UDC: 519.634

Received: 12.04.2013

DOI: 10.7868/S0044466914010104


 English version:
Computational Mathematics and Mathematical Physics, 2014, 54:1, 114–122

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