Artificial boundary conditions for finding surface waves in the problem of diffraction by a periodic boundary
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 12, pp. 2265-2276
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Transparent artificial boundary conditions and an algorithm for computing the augmented scattering matrix are proposed for finding surface waves in a prescribed range of decay rates. An infinite-dimensional fictitious scattering operator is constructed that determines all waves decaying exponentially with distance from a periodic obstacle.
@article{ZVMMF_2006_46_12_a13,
author = {S. A. Nazarov},
title = {Artificial boundary conditions for finding surface waves in the problem of diffraction by a~periodic boundary},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2265--2276},
publisher = {mathdoc},
volume = {46},
number = {12},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a13/}
}
TY - JOUR AU - S. A. Nazarov TI - Artificial boundary conditions for finding surface waves in the problem of diffraction by a periodic boundary JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2006 SP - 2265 EP - 2276 VL - 46 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a13/ LA - ru ID - ZVMMF_2006_46_12_a13 ER -
%0 Journal Article %A S. A. Nazarov %T Artificial boundary conditions for finding surface waves in the problem of diffraction by a periodic boundary %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2006 %P 2265-2276 %V 46 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a13/ %G ru %F ZVMMF_2006_46_12_a13
S. A. Nazarov. Artificial boundary conditions for finding surface waves in the problem of diffraction by a periodic boundary. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 12, pp. 2265-2276. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a13/