Geodesic
The convergence in $W_2^2$ of a difference solution of the Dirichlet problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 3, pp. 470-474 Cet article a éte moissonné depuis la source Math-Net.Ru

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An estimate of the rate of convergence of the difference scheme considered in a net metric $W_2^2$, matched with the smoothness of the required solution, is established when the solution of the initial problem belongs to Sobolev spaces. 
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G. K. Berikelashvili. The convergence in $W_2^2$ of a difference solution of the Dirichlet problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 3, pp. 470-474. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_3_a12/

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