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arXiv · 1103.2948

Full analysis of the Green's function for a singularly perturbed convection-diffusion problem in three dimensions

S. Franz·N. Kopteva
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Abstract

A linear singularly perturbed convection-diffusion problem with characteristic layers is considered in three dimensions. Sharp bounds for the associated Green's function and its derivatives are established in the $L_1$ norm. The dependence of these bounds on the small perturbation parameter is shown explicitly. The obtained estimates will be used in a forthcoming numerical analysis of the considered problem. The present article is a more detailed version of our recent paper [7].

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S. Franz, N. Kopteva. 2011-03-15. Full analysis of the Green's function for a singularly perturbed convection-diffusion problem in three dimensions. https://arxiv.org/abs/1103.2948

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