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Numerical solution of 3D problems of electromagnetic wave diffraction on a system of ideally conducting surfaces by the method of hypersingular integral equations. (English. Russian original) Zbl 1308.78011

Differ. Equ. 50, No. 9, 1240-1251 (2014); translation from Differ. Uravn. 50, No. 9, 1253-1263 (2014).
This paper is concerned with the numerical analysis of a class of diffraction problems. The authors are interested in the use of a boundary integral equation treated in the sense of the Hadamard finite value. The main result deals with the construction of a numerical scheme on the basis of the method of piecewise continuous approximations and collocations with an analytic evaluation of the coefficients of the system of linear equations. An example to electromagnetic wave diffraction problems is also provided in the present paper.

MSC:

78A45 Diffraction, scattering
78M25 Numerical methods in optics (MSC2010)
45E05 Integral equations with kernels of Cauchy type
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
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