Mosaic-skeleton method as applied to the numerical solution of three-dimensional Dirichlet problems for the Helmholtz equation in integral form
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 4, pp. 625-638
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Interior and exterior three-dimensional Dirichlet problems for the Helmholtz equation are solved numerically. They are formulated as equivalent boundary Fredholm integral equations of the first kind and are approximated by systems of linear algebraic equations, which are then solved numerically by applying an iteration method. The mosaic-skeleton method is used to speed up the solution procedure.
@article{ZVMMF_2016_56_4_a7,
author = {A. A. Kashirin and S. I. Smagin and M. Taltykina},
title = {Mosaic-skeleton method as applied to the numerical solution of three-dimensional {Dirichlet} problems for the {Helmholtz} equation in integral form},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {625--638},
publisher = {mathdoc},
volume = {56},
number = {4},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_4_a7/}
}
TY - JOUR AU - A. A. Kashirin AU - S. I. Smagin AU - M. Taltykina TI - Mosaic-skeleton method as applied to the numerical solution of three-dimensional Dirichlet problems for the Helmholtz equation in integral form JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 625 EP - 638 VL - 56 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_4_a7/ LA - ru ID - ZVMMF_2016_56_4_a7 ER -
%0 Journal Article %A A. A. Kashirin %A S. I. Smagin %A M. Taltykina %T Mosaic-skeleton method as applied to the numerical solution of three-dimensional Dirichlet problems for the Helmholtz equation in integral form %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2016 %P 625-638 %V 56 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_4_a7/ %G ru %F ZVMMF_2016_56_4_a7
A. A. Kashirin; S. I. Smagin; M. Taltykina. Mosaic-skeleton method as applied to the numerical solution of three-dimensional Dirichlet problems for the Helmholtz equation in integral form. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 4, pp. 625-638. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_4_a7/