Geodesic
Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions
Electronic transactions on numerical analysis, Tome 18 (2004), pp. 42-48
Discrete Sobolev and Poincar$\acute e$ inequalities are derived for piecewise polynomial functions on two dimensional domains. These inequalities can be applied to classical nonconforming finite element methods and discontinuous Galerkin methods.
Classification : 65N30
Keywords: discrete Sobolev inequality, discrete poincar$\acute e$ inequality, piecewise polynomial functions, nonconforming, discontinuous Galerkin 
@article{ETNA_2004__18__a11,
     author = {Brenner,  Susanne C.},
     title = {Discrete {Sobolev} and {Poincar\'e} inequalities for piecewise polynomial functions},
     journal = {Electronic transactions on numerical analysis},
     pages = {42--48},
     year = {2004},
     volume = {18},
     zbl = {1065.65128},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2004__18__a11/}
}
TY  - JOUR
AU  - Brenner,  Susanne C.
TI  - Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions
JO  - Electronic transactions on numerical analysis
PY  - 2004
SP  - 42
EP  - 48
VL  - 18
UR  - http://geodesic.mathdoc.fr/item/ETNA_2004__18__a11/
LA  - en
ID  - ETNA_2004__18__a11
ER  - 
%0 Journal Article
%A Brenner,  Susanne C.
%T Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions
%J Electronic transactions on numerical analysis
%D 2004
%P 42-48
%V 18
%U http://geodesic.mathdoc.fr/item/ETNA_2004__18__a11/
%G en
%F ETNA_2004__18__a11
Brenner,  Susanne C. Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions. Electronic transactions on numerical analysis, Tome 18 (2004), pp. 42-48. http://geodesic.mathdoc.fr/item/ETNA_2004__18__a11/