Ohlberger, Mario A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations. (English) Zbl 0992.65100 M2AN, Math. Model. Numer. Anal. 35, No. 2, 355-387 (2001). Robust a posteriori error estimates for finite volume approximations of the scalar nonlinear convection-diffusion-reaction equations are established. Numerical experiments to support the theory are presented. Reviewer: S.K.Rangarajan (Yorktown Heights) Cited in 37 Documents MSC: 65M15 Error bounds for initial value and initial-boundary value problems involving PDEs 35K57 Reaction-diffusion equations 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 35K65 Degenerate parabolic equations Keywords:a posteriori error estimates; convection diffusion reaction equation; finite volume schemes; adaptive methods; unstructured grids; numerical experiments PDFBibTeX XMLCite \textit{M. Ohlberger}, M2AN, Math. Model. Numer. 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