Geodesic
Variational formulation of diffraction problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 6, pp. 910-919 
A. S. Il'inskii; O. M. Maslovskaya. Variational formulation of diffraction problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 6, pp. 910-919. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_6_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

New variational formulations of problem of diffraction of electromagnetic waves by inhomogeneous structures are obtained, which reduce any problem of diffraction in an unbounded domain to the solution of a problem of diffraction in a bounded domain with non-local boundary conditions. The variational formulations obtained can be used in discretization by means of the method of finite elements or finite differences.

[1] Sveshnikov A. G., “Difraktsiya na ogranichennom tele”, Dokl. AN SSSR, 184:1 (1969), 63–65

[2] Ilinskii A. S., Chislennye metody issledovaniya zadachi difraktsii na periodicheskikh strukturakh v neodnorodnykh sredakh, Izd-vo MGU, M., 1974

[3] Drapalik V., Janovsky V., “On a potential problem with incident wave as a field source”, Aplicace. mat., 33:6 (1988), 433–455 | MR

[4] Esterbyu O., Zlatev Z., Pryamye metody dlya razrezhennykh matrits, Mir, M., 1987 | MR

[5] Pissanetski S., Tekhnologiya razrezhennykh matrits, Mir, M., 1988 | MR