A new finite volume for the discretization of anisotropic diffusion problems on general unstructured meshes in any space dimension is presented. The convergence of the approximate solution and its discrete gradient is proven. The efficiency of the scheme is shown through numerical examples.
@article{hal-00003328,
author = {Eymard, Robert and Gallou\"et, Thierry and Herbin, Raphaele},
title = {A finite volume scheme for anisotropic diffusion problems},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00003328}
}
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaele. A finite volume scheme for anisotropic diffusion problems. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003328/