Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 12, pp. 2265-2276
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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/
@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},
year = {2006},
volume = {46},
number = {12},
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
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
%U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a13/
%G ru
%F ZVMMF_2006_46_12_a13
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.
