Geodesic
A comparison of four- and five-point difference approximations for stabilizing the one-dimensional stationary convection-diffusion equation
Electronic transactions on numerical analysis, Tome 32 (2008), pp. 63-75
Some recently developed finite element stabilizations of convection-diffusion problems generate in 1D five-point difference schemes. Because there are only few results on fourand five-point schemes in the literature (in contrast to three-point schemes), we discuss some properties of such schemes with special emphasis on the choice of free parameters for a singularly perturbed problem to avoid oscillations.
Classification : 65L10, 65L12, 65L60
Keywords: convection-diffusion, difference scheme, stabilized finite element method 
@article{ETNA_2008__32__a9,
     author = {Roos,  Hans-G\"org and Vanselow,  Reiner},
     title = {A comparison of four- and five-point difference approximations for stabilizing the one-dimensional stationary convection-diffusion equation},
     journal = {Electronic transactions on numerical analysis},
     pages = {63--75},
     year = {2008},
     volume = {32},
     zbl = {1171.65058},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__32__a9/}
}
TY  - JOUR
AU  - Roos,  Hans-Görg
AU  - Vanselow,  Reiner
TI  - A comparison of four- and five-point difference approximations for stabilizing the one-dimensional stationary convection-diffusion equation
JO  - Electronic transactions on numerical analysis
PY  - 2008
SP  - 63
EP  - 75
VL  - 32
UR  - http://geodesic.mathdoc.fr/item/ETNA_2008__32__a9/
LA  - en
ID  - ETNA_2008__32__a9
ER  - 
%0 Journal Article
%A Roos,  Hans-Görg
%A Vanselow,  Reiner
%T A comparison of four- and five-point difference approximations for stabilizing the one-dimensional stationary convection-diffusion equation
%J Electronic transactions on numerical analysis
%D 2008
%P 63-75
%V 32
%U http://geodesic.mathdoc.fr/item/ETNA_2008__32__a9/
%G en
%F ETNA_2008__32__a9
Roos,  Hans-Görg; Vanselow,  Reiner. A comparison of four- and five-point difference approximations for stabilizing the one-dimensional stationary convection-diffusion equation. Electronic transactions on numerical analysis, Tome 32 (2008), pp. 63-75. http://geodesic.mathdoc.fr/item/ETNA_2008__32__a9/