Finite volume methods for convection-diffusion equations with right-hand side in H -1
ESAIM: 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 : 10.1051/m2an:2002031
Classification : 65N12, 65N30
Mots clés : finite volumes, convection-diffusion equations, noncoercivity, non-regular data
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     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: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {705--724},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {4},
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Droniou, Jérôme; Gallouët, Thierry. Finite volume methods for convection-diffusion equations with right-hand side in $H^{-1}$. ESAIM: Modélisation mathématique et analyse numérique, Tome 36 (2002) no. 4, pp. 705-724. doi : 10.1051/m2an:2002031. http://www.numdam.org/articles/10.1051/m2an:2002031/

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