Geodesic
Estimates of the rate of convergence of difference schemes for fourth-order elliptic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 2, pp. 355-365

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

The second boundary value problem is considered for two-dimensional linear and quasilinear fourth-order elliptic equations in a rectangle, when the solution belongs to classes $W^{3+s}_2(\Omega)$, $s=0,1$. Using operators of exact difference schemes, schemes are constructed for which convergence-rate estimates of order $O(|h|^{1+s})$ in the mesh norm of $W^2_2(\omega)$ are established. 
@article{ZVMMF_1983_23_2_a11,
     author = {I. P. Gavriljuk and R. D. Lazarov and V. L. Makarov and S. P. Pirnazarov},
     title = {Estimates of the rate of convergence of difference schemes for fourth-order elliptic equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {355--365},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a11/}
}
TY  - JOUR
AU  - I. P. Gavriljuk
AU  - R. D. Lazarov
AU  - V. L. Makarov
AU  - S. P. Pirnazarov
TI  - Estimates of the rate of convergence of difference schemes for fourth-order elliptic equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1983
SP  - 355
EP  - 365
VL  - 23
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a11/
LA  - ru
ID  - ZVMMF_1983_23_2_a11
ER  - 
%0 Journal Article
%A I. P. Gavriljuk
%A R. D. Lazarov
%A V. L. Makarov
%A S. P. Pirnazarov
%T Estimates of the rate of convergence of difference schemes for fourth-order elliptic equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 355-365
%V 23
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a11/
%G ru
%F ZVMMF_1983_23_2_a11
I. P. Gavriljuk; R. D. Lazarov; V. L. Makarov; S. P. Pirnazarov. Estimates of the rate of convergence of difference schemes for fourth-order elliptic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 2, pp. 355-365. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a11/