A finite volume scheme for a noncoercive elliptic equation with measure data

Jérôme Droniou, Thierry Gallouët, Raphaèle Herein

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24 Citations (Scopus)

Abstract

We show here the convergence of the finite volume approximate solutions of a convection-diffusion equation to a weak solution, without the usual coercitivity assumption on the elliptic operator and with weak regularity assumptions on the data. Numerical experiments are performed to obtain some rates of convergence in two and three space dimensions.

Original languageEnglish
Pages (from-to)1997-2031
Number of pages35
JournalSIAM Journal on Numerical Analysis
Volume41
Issue number6
DOIs
Publication statusPublished - 1 Dec 2003
Externally publishedYes

Keywords

  • Finite volume
  • Measure data
  • Noncoercive elliptic equations

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