Geodesic
The finite difference approximation for the Dirichlet problem with a non-uniform mesh on a boundary
Mathematica Applicanda, Tome 16 (1987) no. 30, pp. 113-123.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The author describes a construction of the positive difference scheme, which is the approximation of the Dirichlet problem for an elliptic second order equation with mixed derivatives in an arbitrary region in R2. The a priori estimation for the approximate solution is proved and the estimation of the rate of convergence in maximum norm is established.
DOI : 10.14708/ma.v16i30.1702
Classification : 65N05 (65N15)
Mots-clés : Derivation of finite difference approximations, Error bounds 
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Grażyna Morawiec. The finite difference approximation for the Dirichlet problem with a non-uniform mesh on a boundary. Mathematica Applicanda, Tome 16 (1987) no. 30, pp.  113-123. doi : 10.14708/ma.v16i30.1702. http://geodesic.mathdoc.fr/articles/10.14708/ma.v16i30.1702/

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