Variational formulation of diffraction problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 6, pp. 910-919

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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.
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     author = {A. S. Il'inskii and O. M. Maslovskaya},
     title = {Variational formulation of diffraction problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     number = {6},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_6_a9/}
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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/