On validity of Gaussian beams summation method in problems with corner points on boundaries
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 13, Tome 128 (1983), pp. 65-71
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It is shown the GBS method is available for the problems with corner points on boundaries. It is found that the largest errors about $5\%$ arise in a vicinity of shadow-light boundaries only.
@article{ZNSL_1983_128_a6,
author = {A. P. Katchalov and M. M. Popov and I. Pshenchik},
title = {On validity of {Gaussian} beams summation method in problems with corner points on boundaries},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {65--71},
publisher = {mathdoc},
volume = {128},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_128_a6/}
}
TY - JOUR AU - A. P. Katchalov AU - M. M. Popov AU - I. Pshenchik TI - On validity of Gaussian beams summation method in problems with corner points on boundaries JO - Zapiski Nauchnykh Seminarov POMI PY - 1983 SP - 65 EP - 71 VL - 128 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_128_a6/ LA - ru ID - ZNSL_1983_128_a6 ER -
%0 Journal Article %A A. P. Katchalov %A M. M. Popov %A I. Pshenchik %T On validity of Gaussian beams summation method in problems with corner points on boundaries %J Zapiski Nauchnykh Seminarov POMI %D 1983 %P 65-71 %V 128 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1983_128_a6/ %G ru %F ZNSL_1983_128_a6
A. P. Katchalov; M. M. Popov; I. Pshenchik. On validity of Gaussian beams summation method in problems with corner points on boundaries. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 13, Tome 128 (1983), pp. 65-71. http://geodesic.mathdoc.fr/item/ZNSL_1983_128_a6/