@article{ZVMMF_1999_39_2_a17,
author = {A. L. Delitsyn},
title = {Application of the finite element method to the calculation of modes of dielectric waveguides},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {315--322},
year = {1999},
volume = {39},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_2_a17/}
}
TY - JOUR AU - A. L. Delitsyn TI - Application of the finite element method to the calculation of modes of dielectric waveguides JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1999 SP - 315 EP - 322 VL - 39 IS - 2 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_2_a17/ LA - ru ID - ZVMMF_1999_39_2_a17 ER -
%0 Journal Article %A A. L. Delitsyn %T Application of the finite element method to the calculation of modes of dielectric waveguides %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1999 %P 315-322 %V 39 %N 2 %U http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_2_a17/ %G ru %F ZVMMF_1999_39_2_a17
A. L. Delitsyn. Application of the finite element method to the calculation of modes of dielectric waveguides. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 2, pp. 315-322. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_2_a17/
[1] Bossavit A., “Solving Maxwell equations in closed cavity and the question of spurious modes”, IEEE Trans. Magnetic., 26:2 (1990), 702–705 | DOI
[2] Bogolyubov A. N., Delitsyn A. L., “Raschet dielektricheskikh volnovodov metodom konechnykh elementov, isklyuchayuschii poyavlenie nefizicheskikh reshenii”, Vestn. MGU., Ser. 3. Fiz., astron., 37:1 (1996), 9–13
[3] Dayly P., “Hybrid-node analysis of microstrip by finite element method”, IEEE Trans. MicroWave Theory Techn., 19 (1971), 19–25 | DOI
[4] Czendes Z. J., Silvester P., “Numerical solution of dielectric-loaded waveguide: I – finite-element analysis”, IEEE Trans. Microwave Theory Techn., 18:12 (1970), 1124–1131 | DOI
[5] Raviart P. A., Thomas J. M., “A mixed finite element method for 2nd order elliptic problems. Mathematical aspects of finite element methods”, Lect. Notes Math., 606, Springer, Berlin etc., 1977 | MR
[6] Nedelec J. C., “Mixed finite elements in $R^3$”, Numer. Math., 35 (1980), 315–341 | DOI | MR | Zbl
[7] Bermudes A., Pedreira D. G., “A finite element method for computation of waveguides”, Numer. Math., 61:2 (1992), 39–57 | DOI | MR
[8] Ohtaka M., Kobaiashi T., “Discussions on numerical accuracy of the vector finite element methods with the vector shape functions”, Trans. Inst. Electron. Inform. Communs Engng., 1994, J77-C-I, 679–685
[9] Ohtaka M., Kobaiashi T., “A new vector variational expression for spurious-free finite-elerment analysis of waveguide eigenmodes”, Trans. Inst. Electron. Inform. Communs Engng., 1989, 72-C-I, 217–222
[10] Bogolyubov A. N., Delitsyn A. L., “Novaya postanovka zadachi rascheta mod dielektricheskikh volnovodov metodom konechnykh elementov, isklyuchayuschaya poyavlenie nefizicheskikh reshenii”, Vestn. MGU. Ser. 3. Fiz., astron., 36:2 (1995), 95–98 | Zbl
[11] Dyuvo G., Lionc Zh. L., Neravenstva v mekhanike i fizike, Nauka, M., 1980 | MR
[12] Iosida K., Funktsionalnyi analiz, Mir, M., 1967 | MR
[13] Girault V., Raviart P. A., Finite element methods for Navier–Stokes equations. Theory and algorithms, Springer, Berlin, 1986 | MR | Zbl
[14] Keldysh M. V., “O sobstvennykh znacheniyakh i sobstvennykh funktsiyakh nekotorykh klassov nesamosopryazhennykh uravnenii”, Dokl. AN SSSR, 87:1 (1951), 11–14
[15] Keldysh M. V., “O polnote sobstvennykh funktsii nekotorykh klassov nesamosopryazhennykh lineinykh operatorov”, Uspekhi matem. nauk, 26:160 (1971), 15–41 | Zbl
[16] Bogolyubov A. N., Delitsyn A. L., Sveshnikov A. G., “O polnote sistemy sobstvennykh i prisoedinennykh funktsii volnovoda”, Zh. vychisl. matem. i matem. fiz., 38:11, 1891–1899 | MR | Zbl
[17] Descloux J., Nassif N., Rappaz J., “On spectral approximation. The problem of convergence. Error estimates for the Galerkin method”, RAIRO Analyse Numer / Numer. Analys., 12:2 (1978), 97–112 | MR | Zbl
[18] Roberts J. E., Thomas J. M., “Mixed and hybrid methods”, Handbook of Numer. Analys., v. 2, Finite Element Methods, North Holland, Amsterdam, 1991 | MR