Reconstruction-Based a Posteriori Error Estimators for the Transport Equation

R. Becker (), D. Capatina () and R. Luce ()
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R. Becker: EPI Concha & LMA CNRS UMR 5142 – INRIA Bordeaux Sud-Ouest & Université de Pau,IPRA
D. Capatina: EPI Concha & LMA CNRS UMR 5142 – INRIA Bordeaux Sud-Ouest & Université de Pau,IPRA
R. Luce: EPI Concha & LMA CNRS UMR 5142 – INRIA Bordeaux Sud-Ouest & Université de Pau,IPRA

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 13-21 from Springer

Abstract: Abstract We present a unified approach to build error estimators based on H(div)-reconstructed fluxes on the primal mesh, inspired by the hypercircle method. Here, the transport equation is considered and discretized by discontinuous Galerkin, nonconforming and conforming finite elements. We describe the local computation of fluxes on patches, obtain upper error bounds and show some numerical tests.

Keywords: Posteriori Error Estimators; Discontinuous Galerkin; Hypercircle Method; Primary Mesh; SUPG Stabilization (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_2

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DOI: 10.1007/978-3-642-33134-3_2

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