Mimetic finite differences for elliptic problems
Brezzi, Franco ; Buffa, Annalisa ; Lipnikov, Konstantin
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 43 (2009), p. 277-295 / Harvested from Numdam
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We developed a mimetic finite difference method for solving elliptic equations with tensor coefficients on polyhedral meshes. The first-order convergence estimates in a mesh-dependent H 1 norm are derived.

Publié le : 2009-01-01
DOI : https://doi.org/10.1051/m2an:2008046
Classification:  65N06,  65N12,  65N15,  65N30 
@article{M2AN_2009__43_2_277_0,
     author = {Brezzi, Franco and Buffa, Annalisa and Lipnikov, Konstantin},
     title = {Mimetic finite differences for elliptic problems},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {43},
     year = {2009},
     pages = {277-295},
     doi = {10.1051/m2an:2008046},
     mrnumber = {2512497},
     zbl = {1177.65164},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2009__43_2_277_0}
}

Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin. Mimetic finite differences for elliptic problems. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 43 (2009) pp. 277-295. doi : 10.1051/m2an:2008046. http://gdmltest.u-ga.fr/item/M2AN_2009__43_2_277_0/

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