Mathematics – Numerical Analysis
Scientific paper
2011-02-22
Mathematics
Numerical Analysis
11 pages, 2 figures
Scientific paper
Linear singularly perturbed convection-diffusion problems with characteristic layers are considered in three dimensions. We demonstrate the sharpness of our recently obtained upper bounds for the associated Green's function and its derivatives in the $L_1$ norm. For this, in this paper we establish the corresponding lower bounds. Both upper and lower bounds explicitly show any dependence on the singular perturbation parameter.
Franz Sebastian
Kopteva Natalia
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