@article{ZVMMF_2015_55_3_a8,
author = {A. N. Bogolyubov and I. E. Mogilevskii and A. G. Sveshnikov},
title = {Asymptotic representation of the electromagnetic field of a dielectric waveguide near a corner point of the line of discontinuity of permittivity},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {446--459},
year = {2015},
volume = {55},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_3_a8/}
}
TY - JOUR AU - A. N. Bogolyubov AU - I. E. Mogilevskii AU - A. G. Sveshnikov TI - Asymptotic representation of the electromagnetic field of a dielectric waveguide near a corner point of the line of discontinuity of permittivity JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2015 SP - 446 EP - 459 VL - 55 IS - 3 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_3_a8/ LA - ru ID - ZVMMF_2015_55_3_a8 ER -
%0 Journal Article %A A. N. Bogolyubov %A I. E. Mogilevskii %A A. G. Sveshnikov %T Asymptotic representation of the electromagnetic field of a dielectric waveguide near a corner point of the line of discontinuity of permittivity %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2015 %P 446-459 %V 55 %N 3 %U http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_3_a8/ %G ru %F ZVMMF_2015_55_3_a8
A. N. Bogolyubov; I. E. Mogilevskii; A. G. Sveshnikov. Asymptotic representation of the electromagnetic field of a dielectric waveguide near a corner point of the line of discontinuity of permittivity. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 3, pp. 446-459. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_3_a8/
[1] Birman M. Sh., Solomyak M. Z., “$L_2$-teoriya operatora Maksvella v proizvolnykh oblastyakh”, Uspekhi matem. nauk, 42:6 (1987), 61–76 | MR | Zbl
[2] Nazarov S. A., Plamenevskii B. A., Ellipticheskie zadachi v oblastyakh s kusochno-gladkoi granitsei, Nauka, M., 1991
[3] Bogolyubov A. N., Mogilevskii I. E., “Povedenie resheniya ellipticheskikh kraevykh zadach v okrestnosti uglovoi tochki linii razryva koeffitsientov”, Zh. vychisl. matem. i matem. fiz., 51:12 (2011), 2253–2259 | MR | Zbl
[4] Bogolyubov A. N., Delitsyn A. L., Mogilevskii I. E., “O matematicheskom obosnovanii variatsionno-raznostnogo podkhoda k chislennomu modelirovaniyu volnoveduschikh sistem”, Vestn. MGU. Ser. 3. Fiz., astron., 1998, no. 5, 14 | MR
[5] Kondpatev V. A., “Kraevye zadachi dlya ellipticheskikh uravnenii v oblastyakh s konicheskimi ili uglovymi tochkami”, Tp. Mosk. Matem. Obschestva, 16, 1967, 227–313
[6] Kondratev V. A., “Osobennosti resheniya zadachi Dirikhle dlya ellipticheskikh uravnenii vtorogo poryadka v okrestnosti rebra”, Differents. ur-niya, 13:11 (1977), 2026–2032 | MR | Zbl
[7] Bogolyubov A. N., Delitsyn A. L., Mogilevskii I. E., Sveshnikov A. G., “Problema vychisleniya volnovodnykh mod pri nalichii vkhodyaschikh reber”, Zh. radioelektroniki, 2001, no. 8 http://jre.cplire.ru/jre/aug01/8/text.html
[8] Bogolyubov A. N., Delitsyn A. L., Mogilevskii I. E., Sveshnikov A. G., “Osobennosti normalnykh voln neodnorodnogo volnovoda s vkhodyaschimi rebrami”, Radiotekhn. i elektronika, 48:7 (2003), 1–8 | MR
[9] Delitsyn A. L., “O probleme primeneniya metoda konechnykh elementov k zadache vychisleniya mod volnovodov”, Zh. vychisl. matem. i matem. fiz., 39:2 (1999), 315–322 | MR | Zbl