Geodesic
A weakly over-penalized symmetric interior penalty method
Electronic transactions on numerical analysis, Tome 30 (2008), pp. 107-127
We introduce a new symmetric interior penalty method for symmetric positive definite second order elliptic boundary value problems, where the jumps across element boundaries are weakly over-penalized. Error estimates are derived in the energy norm and the norm for both conforming and nonconforming meshes. Numerical

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results illustrating the performance of the method are also presented.
Classification : 65N30
Keywords: symmetric interior penalty method, weak over-penalization 
@article{ETNA_2008__30__a18,
     author = {Brenner,  Susanne C. and Owens,  Luke and Sung,  Li-Yeng},
     title = {A weakly over-penalized symmetric interior penalty method},
     journal = {Electronic transactions on numerical analysis},
     pages = {107--127},
     year = {2008},
     volume = {30},
     zbl = {1171.65077},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__30__a18/}
}
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AU  - Owens,  Luke
AU  - Sung,  Li-Yeng
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PY  - 2008
SP  - 107
EP  - 127
VL  - 30
UR  - http://geodesic.mathdoc.fr/item/ETNA_2008__30__a18/
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%0 Journal Article
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%A Owens,  Luke
%A Sung,  Li-Yeng
%T A weakly over-penalized symmetric interior penalty method
%J Electronic transactions on numerical analysis
%D 2008
%P 107-127
%V 30
%U http://geodesic.mathdoc.fr/item/ETNA_2008__30__a18/
%G en
%F ETNA_2008__30__a18
Brenner,  Susanne C.; Owens,  Luke; Sung,  Li-Yeng. A weakly over-penalized symmetric interior penalty method. Electronic transactions on numerical analysis, Tome 30 (2008), pp. 107-127. http://geodesic.mathdoc.fr/item/ETNA_2008__30__a18/