TY - JOUR
T1 -  Green's Function Estimates for a Singularly Perturbed Convection-Diffusion Problem in Three Dimensi
AU - Sebastian Franz & Natalia Kopteva
JO - International Journal of Numerical Analysis Modeling Series B
VL - 2
SP - 124
EP - 141
PY - 2011
DA - 2011/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/303.html
KW - 
AB - 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.