Geodesic
On convergence of a~finite difference scheme to solution of the third boundary value problem for a~system of abstract elliptic equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 2, pp. 109-126

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

There is considered the third boundary value problem for abstract elliptic equations. The problem of stability of solutions to a system of elliptic equations on a restricted domain by non-smooth perturbations of the boundary of this domain is studied. There are proposed a difference scheme for an approximate solution of the considered problem and the conditions for the convergence of solutions of this scheme to the exact solution of the problem. 
@article{SJVM_2005_8_2_a2,
     author = {A. G. Kamenskii and G. A. Kamenskii},
     title = {On convergence of a~finite difference scheme to solution of the third boundary value problem for a~system of abstract elliptic equations},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {109--126},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2005_8_2_a2/}
}
TY  - JOUR
AU  - A. G. Kamenskii
AU  - G. A. Kamenskii
TI  - On convergence of a~finite difference scheme to solution of the third boundary value problem for a~system of abstract elliptic equations
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2005
SP  - 109
EP  - 126
VL  - 8
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2005_8_2_a2/
LA  - ru
ID  - SJVM_2005_8_2_a2
ER  - 
%0 Journal Article
%A A. G. Kamenskii
%A G. A. Kamenskii
%T On convergence of a~finite difference scheme to solution of the third boundary value problem for a~system of abstract elliptic equations
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2005
%P 109-126
%V 8
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2005_8_2_a2/
%G ru
%F SJVM_2005_8_2_a2
A. G. Kamenskii; G. A. Kamenskii. On convergence of a~finite difference scheme to solution of the third boundary value problem for a~system of abstract elliptic equations. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 2, pp. 109-126. http://geodesic.mathdoc.fr/item/SJVM_2005_8_2_a2/