Green's Function Estimates for a Singularly Perturbed Convection-Diffusion Problem in Three Dimensi
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@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}
}
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.
Sebastian Franz and Natalia Kopteva. (2011). Green's Function Estimates for a Singularly Perturbed Convection-Diffusion Problem in Three Dimensi.
International Journal of Numerical Analysis Modeling Series B. 2 (2).
124-141.
doi:
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