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

DOI10.1051/m2an:2002031zbMath1070.65566OpenAlexW2157058129MaRDI QIDQ4423078

Jérôme Droniou, Thierry Gallouet

Publication date: 25 August 2003

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2002__36_4_705_0

zbMATH Keywords

convergencefinite volume methodconvection-diffusion equationsnoncoercivitynon-regular datalinear elliptic problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

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• Quadratic convergence for cell-centered grids
• Convergence of finite volume schemes for semilinear convection diffusion equations
• Non-coercive linear elliptic problems
• Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem