Finite volume methods for convection-diffusion equations with right-hand side in H -1
Droniou, Jérôme ; Gallouët, Thierry
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002), p. 705-724 / Harvested from Numdam
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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.

Publié le : 2002-01-01
DOI : https://doi.org/10.1051/m2an:2002031
Classification:  65N12,  65N30 
@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},
     volume = {36},
     year = {2002},
     pages = {705-724},
     doi = {10.1051/m2an:2002031},
     mrnumber = {1932310},
     zbl = {1070.65566},
     language = {en},
     url = {http://dml.mathdoc.fr/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) pp. 705-724. doi : 10.1051/m2an:2002031. http://gdmltest.u-ga.fr/item/M2AN_2002__36_4_705_0/

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