Geodesic
Monotonicity and discretization error estimates for convection-diffusion problems
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 7 (2004) no. 3, pp. 189-202.

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Monotone operators provide a basis for pointwise bounds of the solution and discretization errors. We apply this technique for convection-diffusion problems, including an anisotropic diffusion term and show that the discretization error has a higher order of accuracy near Dirichlet boundaries or, alternatively, the second order of the global error remains even if we use a lower order of approximation near the Dirichlet boundary. 
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O. Axelsson; S. V. Gololobov. Monotonicity and discretization error estimates for convection-diffusion problems. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 7 (2004) no. 3, pp. 189-202. http://geodesic.mathdoc.fr/item/SJVM_2004_7_3_a1/

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