Geodesic
Mimetic finite differences for elliptic problems
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 2, pp. 277-295

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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.

DOI : 10.1051/m2an:2008046
Classification : 65N06, 65N12, 65N15, 65N30
Keywords: finite differences, polyhedral meshes, diffusion equation, error estimates 
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     author = {Brezzi, Franco and Buffa, Annalisa and Lipnikov, Konstantin},
     title = {Mimetic finite differences for elliptic problems},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {277--295},
     publisher = {EDP-Sciences},
     volume = {43},
     number = {2},
     year = {2009},
     doi = {10.1051/m2an:2008046},
     mrnumber = {2512497},
     zbl = {1177.65164},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2008046/}
}
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Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin. Mimetic finite differences for elliptic problems. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 2, pp. 277-295. doi: 10.1051/m2an:2008046

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