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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     author = {O. Axelsson and S. V. Gololobov},
     title = {Monotonicity and discretization error estimates for convection-diffusion problems},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {189--202},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2004_7_3_a1/}
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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/