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 
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/
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     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},
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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.

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