Geodesic
Efficient algorithm for proper-time computations of long electromagnetic phenomena in a bounded computational domain
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 10, pp. 1826-1836

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

Nonreflecting artificial boundary conditions (ABCs) and an efficient algorithm for their implementation are constructed, which replace difference Maxwell equations in a vacuum solved in proper time in a region surrounding the computational domain. One time step of the algorithm requires $O(T_f^1h^{-4})$ time rather than $O(T_f^4h^{-4})$ time taken in the direct computation without using ABCs. This makes it possible to compute certain electrodynamic problems at long times. 
@article{ZVMMF_2005_45_10_a7,
     author = {S. V. Petropavlovsky},
     title = {Efficient algorithm for proper-time computations of long electromagnetic phenomena in a bounded computational domain},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1826--1836},
     publisher = {mathdoc},
     volume = {45},
     number = {10},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_10_a7/}
}
TY  - JOUR
AU  - S. V. Petropavlovsky
TI  - Efficient algorithm for proper-time computations of long electromagnetic phenomena in a bounded computational domain
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2005
SP  - 1826
EP  - 1836
VL  - 45
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_10_a7/
LA  - ru
ID  - ZVMMF_2005_45_10_a7
ER  - 
%0 Journal Article
%A S. V. Petropavlovsky
%T Efficient algorithm for proper-time computations of long electromagnetic phenomena in a bounded computational domain
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2005
%P 1826-1836
%V 45
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_10_a7/
%G ru
%F ZVMMF_2005_45_10_a7
S. V. Petropavlovsky. Efficient algorithm for proper-time computations of long electromagnetic phenomena in a bounded computational domain. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 10, pp. 1826-1836. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_10_a7/