Exponential finite volume schemes for solving of evolutional equations on irregular grids
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 149 (2007) no. 4, pp. 121-131
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A numerical solution of evolutionary equations on irregular grids is considered. The conservative weakly monotone finite volume schemes on both triangular and tetrahedral grids for convection-diffusion type equations are proposed. The conditions of stability and convergence of these schemes are formulated. The proposed numerical approach are illustrated for one vacuum microelectronics problem connected with computations of electron emission from edge surface of silicon microcathode.
@article{UZKU_2007_149_4_a9,
author = {S. V. Polyakov},
title = {Exponential finite volume schemes for solving of evolutional equations on irregular grids},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {121--131},
publisher = {mathdoc},
volume = {149},
number = {4},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2007_149_4_a9/}
}
TY - JOUR AU - S. V. Polyakov TI - Exponential finite volume schemes for solving of evolutional equations on irregular grids JO - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki PY - 2007 SP - 121 EP - 131 VL - 149 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZKU_2007_149_4_a9/ LA - ru ID - UZKU_2007_149_4_a9 ER -
%0 Journal Article %A S. V. Polyakov %T Exponential finite volume schemes for solving of evolutional equations on irregular grids %J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki %D 2007 %P 121-131 %V 149 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZKU_2007_149_4_a9/ %G ru %F UZKU_2007_149_4_a9
S. V. Polyakov. Exponential finite volume schemes for solving of evolutional equations on irregular grids. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 149 (2007) no. 4, pp. 121-131. http://geodesic.mathdoc.fr/item/UZKU_2007_149_4_a9/