Finite volume methods for convection-diffusion equations with right-hand side in ${H}^{-1}$
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002) no. 4, pp. 705-724.

We prove the convergence of a finite volume method for a noncoercive linear elliptic problem, with right-hand side in the dual space of the natural energy space of the problem.

DOI : https://doi.org/10.1051/m2an:2002031
Classification : 65N12,  65N30
Mots clés : finite volumes, convection-diffusion equations, noncoercivity, non-regular data
@article{M2AN_2002__36_4_705_0,
author = {Droniou, J\'er\^ome and Gallou\"et, Thierry},
title = {Finite volume methods for convection-diffusion equations with right-hand side in $H^{-1}$},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
pages = {705--724},
publisher = {EDP-Sciences},
volume = {36},
number = {4},
year = {2002},
doi = {10.1051/m2an:2002031},
zbl = {1070.65566},
mrnumber = {1932310},
language = {en},
url = {archive.numdam.org/item/M2AN_2002__36_4_705_0/}
}
Droniou, Jérôme; Gallouët, Thierry. Finite volume methods for convection-diffusion equations with right-hand side in $H^{-1}$. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002) no. 4, pp. 705-724. doi : 10.1051/m2an:2002031. http://archive.numdam.org/item/M2AN_2002__36_4_705_0/

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