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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@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