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Coudière, Yves; Gallouët, Thierry; Herbin, Raphaèle
Discrete Sobolev inequalities and $L^p$ error estimates for finite volume solutions of convection diffusion equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, 35 no. 4 (2001), p. 767-778
Full text djvu | pdf | Reviews MR 1863279 | Zbl 0990.65122 | 1 citation in Numdam
Class. Math.: 65N15
Keywords: finite volume methods, ${L^p}$ error estimates, unstructured meshes, convection-diffusion equations
stable URL: http://www.numdam.org/item?id=M2AN_2001__35_4_767_0
The topic of this work is to obtain discrete Sobolev inequalities for piecewise constant functions, and to deduce $L^p$ error estimates on the approximate solutions of convection diffusion equations by finite volume schemes.
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