Geodesic
Comparison of two-numerical methods for solving the problem of the diffraction of an $E$-polarized plane wave by an ideally conducting periodic surface
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 5, pp. 697-704

Voir la notice de l'article provenant de la source Math-Net.Ru

The method of collocation and the “integral equation” method, which is based on the use of the fast Fourier transform, are compared. The two algorithms are described and the results of numerical calculations of the surface currents and amplitudes of the non-decaying reflected plane waves obtained by the two methods are presented. Tables of the energy defects, the normalized difference of the solutions in $L_2[0,2\pi]$ and the times required to carry out calculations on a ES-1055 digital computer are given. The operation of the two algorithms is analysed. 
@article{ZVMMF_1990_30_5_a5,
     author = {V. A. Korneev and A. G. Mikheev and E. Yu. Rabotnova and A. S. Shamaev},
     title = {Comparison of two-numerical methods for solving the problem of the diffraction of an $E$-polarized plane wave by an ideally conducting periodic surface},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {697--704},
     publisher = {mathdoc},
     volume = {30},
     number = {5},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a5/}
}
TY  - JOUR
AU  - V. A. Korneev
AU  - A. G. Mikheev
AU  - E. Yu. Rabotnova
AU  - A. S. Shamaev
TI  - Comparison of two-numerical methods for solving the problem of the diffraction of an $E$-polarized plane wave by an ideally conducting periodic surface
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1990
SP  - 697
EP  - 704
VL  - 30
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a5/
LA  - ru
ID  - ZVMMF_1990_30_5_a5
ER  - 
%0 Journal Article
%A V. A. Korneev
%A A. G. Mikheev
%A E. Yu. Rabotnova
%A A. S. Shamaev
%T Comparison of two-numerical methods for solving the problem of the diffraction of an $E$-polarized plane wave by an ideally conducting periodic surface
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1990
%P 697-704
%V 30
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a5/
%G ru
%F ZVMMF_1990_30_5_a5
V. A. Korneev; A. G. Mikheev; E. Yu. Rabotnova; A. S. Shamaev. Comparison of two-numerical methods for solving the problem of the diffraction of an $E$-polarized plane wave by an ideally conducting periodic surface. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 5, pp. 697-704. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a5/