A posteriori error estimator for finite volume methods

DOI10.1016/S0096-3003(99)00118-6zbMath1023.65116OpenAlexW2090784922MaRDI QIDQ1569203

Abdellatif Agouzal, Fabienne Oudin

Publication date: 25 June 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00118-6

zbMATH Keywords

finite volume methodfinite element methodselliptic equationsposteriori error estimatordual mixed methodsnonconforming primal methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Asymptotically exact a posteriori local discontinuous Galerkin error estimates for the one-dimensional second-order wave equation ⋮ A posteriori element residual error estimations for the cell functional minimization scheme ⋮ A posteriori error estimates for a finite volume method for the Stokes problem in two dimensions ⋮ NeuroBox: computational mathematics in multiscale neuroscience ⋮ Asymptotically exact a posteriori LDG error estimates for one-dimensional transient convection-diffusion problems ⋮ Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods ⋮ Goal-oriented a posteriori error estimation for finite volume methods ⋮ A posteriorierror analysis of a cell-centered finite volume method for semilinear elliptic problems ⋮ An explicit a posteriori error estimations for the cell functional minimization scheme of elliptic problems

Cites Work

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• Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• An error estimate for a finite volume scheme for a diffusion–convection problem on a triangular mesh

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