PSI Solution of Convection-Diffusion Equations with Data in L1

J. Casado-Díaz (), T. Chacón Rebollo (), V. Girault (), M. Gómez Mármol () and F. Murat ()
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J. Casado-Díaz: Universidad de Sevilla, Dpto. Ecuaciones Diferenciales y Análisis Numérico
T. Chacón Rebollo: Universidad de Sevilla, Dpto. Ecuaciones Diferenciales y Análisis Numérico
V. Girault: UPMC, Univ Paris 06, UMR 7598, Laboratoire Jacques Louis Lions
M. Gómez Mármol: Universidad de Sevilla, Dpto. Ecuaciones Diferenciales y Análisis Numérico
F. Murat: UPMC, Univ Paris 06, UMR 7598, Laboratoire Jacques Louis Lions

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 233-240 from Springer

Abstract: Abstract This paper is devoted to the analysis of finite element approximations of convection-diffusion equations with data in L1. We discretize the convection operator by the PSI (Positive Streamwise Implicit) scheme, and the diffusion operator by the standard Galerkin method, using conforming P1 finite elements. We give the main idea in the proof of convergence of the approximations to the unique renormalized solution in $$W^{1,q}(\Omega),1\leq q

Keywords: Element Approximation; Discrete Problem; Diffusion Operator; Renormalize Solution; Standard Galerkin Method (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_27

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DOI: 10.1007/978-3-540-69777-0_27

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