Geodesic
Finite element method for the diffraction problem in a waveguide
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1926-1930 
A. L. Delitsyn. Finite element method for the diffraction problem in a waveguide. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1926-1930. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a5/
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     title = {Finite element method for the diffraction problem in a waveguide},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The convergence of the finite element method (FEM) as applied to the diffraction problem in a waveguide in the case when there is no damping in the medium filling the waveguide is proved. A functional space that takes into account the partial radiation conditions is introduced to carry out the proof. A highly accurate approximation method for the partial radiation conditions is considered.

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[2] Delitsyn A. L., “O zadache rasseyaniya na neodnorodnosti v volnovode”, Zh. vychisl. matem. i matem. fiz., 40:1 (2000), 606–610 | MR | Zbl

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