Geodesic
Mathematical simulation of an irregular waveguide with reentering edges
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 6, pp. 1058-1062 Cet article a éte moissonné depuis la source Math-Net.Ru

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A mathematical model is proposed to study an irregular waveguide with reentering edges. Theoretical estimates for the behavior of the solution near the reentrant corners are used to estimate the rate of convergence of the numerical solution to the exact one. The mode structure of the waveguide field is analyzed. 
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A. N. Bogolyubov; A. I. Erokhin; I. E. Mogilevskii. Mathematical simulation of an irregular waveguide with reentering edges. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 6, pp. 1058-1062. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_6_a9/

[1] Schiff B., Yosibash Z., “Eigenvalues for waveguides containing re-entrant corners by a finite-element method with superelements”, IEEE Transactions on microwave theory and techniques, 48:2 (2000), 214–220 | DOI | MR

[2] Nazarov S. A., Plamenevskii B. A., Ellipticheskie zadachi v oblastyakh s kusochno-gladkoi granitsei, Nauka, M., 1991

[3] Streng G., Fiks Dzh., Teoriya metoda konechnykh elementov, Mir, M., 1977 | MR

[4] Syarle F., Metod konechnykh elementov dlya ellipticheskikh zadach, Mir, M., 1980 | MR

[5] Kondratev V. A., Oleinik O. A., “Kraevye zadachi dlya uravnenii s chastnymi proizvodnymi v negladkikh oblastyakh”, Uspekhi mat. nauk, 38:2 (1983), 3–76 | MR

[6] Bogolyubov A. N., Delitsyn A. L., Mogilevskii I. E., Sveshnikov A. G., “Osobennosti normalnykh voln neodnorodnogo volnovoda s vkhodyaschimi rebrami”, Radiotekhnika i elektronika, 48:7 (2003), 787–794 | MR

[7] Sveshnikov A. G., Mogilevskii I. E., Matematicheskie zadachi teorii difraktsii, Fizicheskii fakultet MGU, M., 2010