Geodesic
On the application of the fast multipole method to the optimization of the boundary element method for the Helmholtz equation
Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 3, pp. 83-100

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

Solving the Helmholtz equation by means of the boundary element method applied in conjunction with the fast multipole method is the subject of this paper. The accuracy analysis is presented for the model problem with known analytics. Also, we present an original approach to the computation of the rotation coefficients for the spherical harmonic decomposition of the multipole series.
Keywords: boundary element method, fast multipole method, the Helmholtz equation. 
@article{SJIM_2021_24_3_a6,
     author = {S. A. Sivak and M. E. Royak and I. M. Stupakov},
     title = {On the application of the fast multipole method to the optimization of the boundary element method for the {Helmholtz} equation},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {83--100},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2021_24_3_a6/}
}
TY  - JOUR
AU  - S. A. Sivak
AU  - M. E. Royak
AU  - I. M. Stupakov
TI  - On the application of the fast multipole method to the optimization of the boundary element method for the Helmholtz equation
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2021
SP  - 83
EP  - 100
VL  - 24
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2021_24_3_a6/
LA  - ru
ID  - SJIM_2021_24_3_a6
ER  - 
%0 Journal Article
%A S. A. Sivak
%A M. E. Royak
%A I. M. Stupakov
%T On the application of the fast multipole method to the optimization of the boundary element method for the Helmholtz equation
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2021
%P 83-100
%V 24
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2021_24_3_a6/
%G ru
%F SJIM_2021_24_3_a6
S. A. Sivak; M. E. Royak; I. M. Stupakov. On the application of the fast multipole method to the optimization of the boundary element method for the Helmholtz equation. Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 3, pp. 83-100. http://geodesic.mathdoc.fr/item/SJIM_2021_24_3_a6/