Geodesic
Application of the incomplete Galerkin method for solving problems of the diffraction of electromagnetic waves by a nonhomogeneous cylinder
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 6, pp. 894-909 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of the diffraction of a plane electromagnetic wave with an arbitrary angle of incidence by an infinite cylinder is solved using the incomplete Galerkin method. The functions describing the distribution of the permittivity and magnetic permeability over the cross-section of the cylinder are assumed to be piecewise continuous. A justification of the method is given and numerical results are presented. 
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     title = {Application of the incomplete {Galerkin} method for solving problems of the diffraction of electromagnetic waves by a~nonhomogeneous cylinder},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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A. A. Bykov; A. G. Sveshnikov; M. K. Trubetskov. Application of the incomplete Galerkin method for solving problems of the diffraction of electromagnetic waves by a nonhomogeneous cylinder. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 6, pp. 894-909. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_6_a8/

[1] Bowman J. J., Senior T. B. A., Uslenghi P. L. E., Electromagnetic and acoustic scattering by simple shapes, North Holland Publ. Co., Amsterdam, 1969 | MR

[2] Svetov B. S., Gubatenko V. P., Analiticheskie resheniya elektrodinamicheskikh zadach, Nauka, M., 1988

[3] Vaganov R. B., Katsenelenbaum B. Z., Osnovy teorii difraktsii, Nauka, M., 1982 | MR | Zbl

[4] Kolton D., Kress R., Metody integralnykh uravnenii v teorii rasseyaniya, Mir, M., 1987 | MR

[5] Dmitriev V. I., Zakharov E. V., Integralnye uravneniya v kraevykh zadachakh elektrodinamiki, Izd-vo MGU, M., 1987 | MR

[6] Badyukov V. F., “Obobschennyi metod razdeleniya peremennykh v zadachakh difraktsii i ego analogi”, Radiotekhn. i elektronika, 32:9 (1987), 1853–1862

[7] Aleksidze M. A., Reshenie granichnykh zadach metodom razlozheniya po neortogonalnym funktsiyam, Nauka, M., 1978 | MR | Zbl

[8] Vasilev E. H., Vozbuzhdenie tel vrascheniya, Radio i svyaz, M., 1987

[9] Malushkov G. D., “Metody resheniya zadach elektromagnitnogo vozbuzhdeniya tel vrascheniya”, Izv. vuzov. Radiofiz., 18:11 (1975), 1563–1589 | MR

[10] Gashevskaya O. S., Karnishin V. V., “Metod chislennogo resheniya zadach difraktsii i izlucheniya elektromagnitnykh voln”, Radiotekhn. i elektronika, 20:9 (1975), 1795–1803

[11] Eremin Yu. A., Sveshnikov A. G., “Issledovanie zadach difraktsii na lokalno-neodnorodnom tele vrascheniya metodom vtorichnykh istochnikov”, Izv. vuzov. Radiofiz., 30:6 (1987), 771–775

[12] Sveshnikov A. G., “Ob obosnovanii metoda rascheta rasprostraneniya elektromagnitnykh kolebanii v neregulyarnykh volnovodakh”, Zh. vychisl. matem. i matem. fiz., 3:2 (1963), 314–326 | MR

[13] Sveshnikov A. G., “Nepolnyi metod Galerkina”, Dokl. AN SSSR, 236:5 (1977), 1076–1079 | MR | Zbl

[14] Kantorovich L. V., “Ispolzovanie idei metoda Galerkina v metode privedeniya k obyknovennym differentsialnym uravneniyam”, Prikl. matem. i mekhan., 6:1 (1942), 31–40

[15] Ilinskii A. S., Pavlov A. L., Sveshnikov A. G., Issledovanie nekotorykh zadach difraktsii v neodnorodnykh sredakh chislennymi metodami, Izd-vo MGU, M., 1972

[16] Bykov A. A., Ilinskii A. S., “Reshenie kraevykh zadach dlya lineinykh sistem obyknovennykh differentsialnykh uravnenii metodom napravlennoi ortogonalizatsii”, Zh. vychisl. matem. i matem. fiz., 19:3 (1979), 631–639 | MR | Zbl

[17] Bykov A. A., “Ustoichivyi chislennyi metod resheniya kraevykh zadach dlya sistem lineinykh obyknovennykh differentsialnykh uravnenii”, Dokl. AN SSSR, 251:5 (1980), 1040–1044 | MR | Zbl

[18] Markov G. T., Chaplin A. F., Vozbuzhdenie elektromagnitnykh voln, Radio i svyaz, M., 1983

[19] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1966 | MR | Zbl

[20] Bakhvalov N. S., Chislennye metody, Nauka, M., 1975

[21] Mei K. K., “Unimoment method of solving antennas and scattering problems”, IEEE Trans. AP, 22:6 (1974), 760–766

[22] Chang S. K., Kennth K., Mei K. K., “Application of the unimoment method to electromagnetic scattering of dielectric cylinder”, IEEE Trans. AP, 24:1 (1976), 35–42