Geodesic
Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions
Electronic transactions on numerical analysis, Tome 18 (2004), pp. 42-48.

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

Summary: 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},
     publisher = {mathdoc},
     volume = {18},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2004__18__a11/}
}
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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/