@Article{IJNAMB-2-124, author = {Sebastian Franz and Natalia Kopteva}, title = { Green's Function Estimates for a Singularly Perturbed Convection-Diffusion Problem in Three Dimensi}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2011}, volume = {2}, number = {2}, pages = {124--141}, 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 firstand second-order derivatives are established in the L_1 norm by employing the parametrix metho'. 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 to derive a robust a posteriori error estimator in the maximum norm.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/303.html} }