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Finite volume methods for convection-diffusion equations with right-hand side in H -1

Published online by Cambridge University Press:  15 September 2002

Jérôme Droniou  and
Thierry Gallouët
Jérôme Droniou
Affiliation:
UMPA, ENS Lyon, 46 allée d'Italie, 69364 Lyon cedex 07, France. jdroniou@umpa.ens-lyon.fr.
Thierry Gallouët
Affiliation:
Université de Provence, CMI, Technopôle de Château Gombert, 39 rue F. Joliot Curie, 13453 Marseille Cedex 13, France. gallouet@cmi.univ-mrs.fr.
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Abstract

We prove the convergence of a finite volumemethod for a noncoercive linear elliptic problem, with right-handside in the dual space of the natural energy space of the problem.

Keywords

Finite volumesconvection-diffusion equationsnoncoercivitynon-regular data.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 36 , Issue 4 , July 2002 , pp. 705 - 724
Copyright
© EDP Sciences, SMAI, 2002

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References

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