Finite element schemes of a high accuracy order for two-pointed heterogeneous boundary-value problem with degeneration
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 4, pp. 63-75
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The purpose of the paper is construction of a finite element schemes with a high approximation order for two-pointed heterogeneous boundary-value problem with degenerated coefficients, based on a multiplicative allocation of singularities. It is proved, that this method has optimal order of convergence rate.
@article{UZKU_2006_148_4_a5,
author = {Sh. I. Tayupov and M. R. Timerbaev},
title = {Finite element schemes of a~high accuracy order for two-pointed heterogeneous boundary-value problem with degeneration},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {63--75},
publisher = {mathdoc},
volume = {148},
number = {4},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2006_148_4_a5/}
}
TY - JOUR AU - Sh. I. Tayupov AU - M. R. Timerbaev TI - Finite element schemes of a high accuracy order for two-pointed heterogeneous boundary-value problem with degeneration JO - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki PY - 2006 SP - 63 EP - 75 VL - 148 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZKU_2006_148_4_a5/ LA - ru ID - UZKU_2006_148_4_a5 ER -
%0 Journal Article %A Sh. I. Tayupov %A M. R. Timerbaev %T Finite element schemes of a high accuracy order for two-pointed heterogeneous boundary-value problem with degeneration %J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki %D 2006 %P 63-75 %V 148 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZKU_2006_148_4_a5/ %G ru %F UZKU_2006_148_4_a5
Sh. I. Tayupov; M. R. Timerbaev. Finite element schemes of a high accuracy order for two-pointed heterogeneous boundary-value problem with degeneration. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 4, pp. 63-75. http://geodesic.mathdoc.fr/item/UZKU_2006_148_4_a5/