An iterative $\mathrm{KP}_1$ method for solving the transport equation in $\mathrm{3D}$ domains on unstructured grids
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 10, pp. 1727-1740
Voir la notice de l'article provenant de la source Math-Net.Ru
A two-step iterative $\mathrm{KP}_1$ method for solving systems of grid equations that approximate the integro-differential transport equation in $\mathrm{3D}$ domains on unstructured grids using nodal $\mathrm{S_N}$ methods is described. Results of testing the efficiency of the proposed method in solving benchmark problems of reactor protection on tetrahedral grids are presented.
@article{ZVMMF_2015_55_10_a10,
author = {N. I. Kokonkov and O. V. Nikolaeva},
title = {An iterative $\mathrm{KP}_1$ method for solving the transport equation in $\mathrm{3D}$ domains on unstructured grids},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1727--1740},
publisher = {mathdoc},
volume = {55},
number = {10},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_10_a10/}
}
TY - JOUR
AU - N. I. Kokonkov
AU - O. V. Nikolaeva
TI - An iterative $\mathrm{KP}_1$ method for solving the transport equation in $\mathrm{3D}$ domains on unstructured grids
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2015
SP - 1727
EP - 1740
VL - 55
IS - 10
PB - mathdoc
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_10_a10/
LA - ru
ID - ZVMMF_2015_55_10_a10
ER -
%0 Journal Article
%A N. I. Kokonkov
%A O. V. Nikolaeva
%T An iterative $\mathrm{KP}_1$ method for solving the transport equation in $\mathrm{3D}$ domains on unstructured grids
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2015
%P 1727-1740
%V 55
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_10_a10/
%G ru
%F ZVMMF_2015_55_10_a10
N. I. Kokonkov; O. V. Nikolaeva. An iterative $\mathrm{KP}_1$ method for solving the transport equation in $\mathrm{3D}$ domains on unstructured grids. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 10, pp. 1727-1740. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_10_a10/