Geodesic
On the role of boundary conditions for CIP stabilization of higher order finite elements
Electronic transactions on numerical analysis, Tome 32 (2008), pp. 1-16
We investigate the Continuous Interior Penalty (CIP) stabilization method for higher order finite elements applied to a convection diffusion equation with a small diffusion parameter . Performing numerical exper- $\textcent $iments, it turns out that strongly imposed Dirichlet boundary conditions lead to relatively bad numerical solutions.
Classification : 65N15, 65N30, 65N50
Keywords: diffusion-convection-reaction equation, finite elements, nitsche type boundary conditions, error estimates 
@article{ETNA_2008__32__a13,
     author = {Schieweck,  Friedhelm},
     title = {On the role of boundary conditions for {CIP} stabilization of higher order finite elements},
     journal = {Electronic transactions on numerical analysis},
     pages = {1--16},
     year = {2008},
     volume = {32},
     zbl = {1172.65383},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__32__a13/}
}
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%J Electronic transactions on numerical analysis
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Schieweck,  Friedhelm. On the role of boundary conditions for CIP stabilization of higher order finite elements. Electronic transactions on numerical analysis, Tome 32 (2008), pp. 1-16. http://geodesic.mathdoc.fr/item/ETNA_2008__32__a13/