Method of hypersingular integral equations in a three-dimensional problem of diffraction of electromagnetic waves on a piecewise homogeneous dielectric body

Author:

Zakharov E. V.,Setukha A. V.,Bezobrazova E. N.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference12 articles.

1. Colton, D. and Kress, R., Integral Equation Methods in Scattering Theory, New York: Wiley, 1983. Translated under the title Metody integral’nykh uravnenii v teorii rasseyaniya, Moscow: Mir, 1987.

2. Lifanov, I.K., Metod singulyarnykh integral’nykh uravnenii i chislennyi eksperiment (The Method of Singular Integral Equations and Numerical Experiment), Moscow: Yanus, 1995. Translated under the title Singular Integral Equations and Discrete Vortices, Utrecht: VSP, 1996.

3. Lifanov, I.K. and Stavtsev, S.L., Integral Equations and Sound Propagation in a Shallow Sea, Differ. Uravn., 2004, vol. 40, no. 9, pp. 1256–1270. Engl. transl. in Differ. Equ., 2004, vol. 40, no. 9, pp. 1330–1344.

4. Gutnikov, V.A., Kiryakin, V.Yu., Lifanov, I.K., et al., Numerical Solution to a Two-Dimensional Hypersingular Integral Equation, and Sound Propagation in Urban Areas, Zh. Vychisl. Mat. Mat. Fiz., 2007, vol. 47, no. 12, pp. 2088–2100. Engl. transl. in Comput. Math. Math. Phys., 2007, vol. 47, no. 12, pp. 2002–2013.

5. Lebedeva, S.G. and Setukha, A.V., On the Numerical Solution of a Complete Two-Dimensional Hypersingular Integral Equation by the Method of Discrete Singularities, Differ. Uravn., 2013, vol. 49, no. 2, pp. 223–233. Engl. transl. in Differ. Equ., 2013. vol. 49. no. 2, pp. 224–234.

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