Geodesic
On the Convergence of Finite-difference Scheme for one Nonlocal Elliptic Boundary Value Problem
Publications de l'Institut Mathématique, _N_S_70 (2001) no. 84, p. 69

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The finite-difference scheme approximating nonlocal boundary value problem for a second order elliptic equation is studied. A convergence rate estimate in discrete $W_2^1$-norm is obtained, assuming that the coefficients and the solution to the original problem belongs to Sobolev spaces.
Classification : 65N06
Keywords: difference schemes, nonlocal boundary value problem, elliptic equation, weighted spaces, convergence rate 
@article{PIM_2001_N_S_70_84_a8,
     author = {Givi Berikelashvili},
     title = {On the {Convergence} of {Finite-difference} {Scheme} for one {Nonlocal} {Elliptic} {Boundary} {Value} {Problem}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {69 },
     publisher = {mathdoc},
     volume = {_N_S_70},
     number = {84},
     year = {2001},
     zbl = {1032.65118},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2001_N_S_70_84_a8/}
}
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Givi Berikelashvili. On the Convergence of Finite-difference Scheme for one Nonlocal Elliptic Boundary Value Problem. Publications de l'Institut Mathématique, _N_S_70 (2001) no. 84, p. 69 . http://geodesic.mathdoc.fr/item/PIM_2001_N_S_70_84_a8/