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
Zbl EuDML
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 
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/
@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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