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.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {32},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__32__a9/}
}
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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/