Asymptotic representation of the electromagnetic field of a dielectric waveguide near a corner point of the line of discontinuity of permittivity

Author:

Bogolyubov A. N.,Mogilevskii I. E.,Sveshnikov A. G.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Reference9 articles.

1. M. Sh. Birman and M. Z. Solomyak, “L 2-theory of the Maxwell operator in arbitrary domains,” Russ. Math. Surv. 42(6), 75–96 (1987).

2. S. A. Nazarov and B. A. Plamenevsky, Elliptic Problems in Domains with Piecewise Smooth Boundaries (Nauka, Moscow, 1991; Walter de Gruyter, Berlin, 1994).

3. A. N. Bogolyubov and I. E. Mogilevskii, “Behavior of solutions to elliptic boundary value problems in a neighborhood of corner points of discontinuity lines of the coefficients,” Comput. Math. Math. Phys. 51(12), 2121–2127 (2011).

4. A. N. Bogolyubov, A. L. Delitsyn, and I. E. Mogilevskii, “On the Mathematical substantiation of the variational finite difference approach to the numerical simulation of waveguide systems,” Vestn. Mosk. Gos. Univ. Ser. 3: Fiz. Astron., No. 5, 14 (1998).

5. V. A. Kondpat’ev, “Boundary value problems for elliptic equations in domains with conical or angular points,” Tr. Mosk. Mat. O-va 16, 227–313 (1967).

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