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, Volume 36 (2002) no. 4, p. 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
Keywords: 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},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {4},
     year = {2002},
     pages = {705-724},
     doi = {10.1051/m2an:2002031},
     zbl = {1070.65566},
     mrnumber = {1932310},
     language = {en},
     url = {http://www.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, Volume 36 (2002) no. 4, pp. 705-724. doi : 10.1051/m2an:2002031. http://www.numdam.org/item/M2AN_2002__36_4_705_0/

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