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Spectral Analysis of Defect-Correction Algorithms for Hyperbolic Equations

Abstract : In this report, variants are proposed to the Defect Correction algorithm analyzed for hyperbolic equations in \cite{DESIH} \cite{HDESI}. Potentially more efficient preconditioners are identified for a class of second-order partially-upwind approximation schemes including one that is third-order; these preconditioners are constructed by averaging the first-order upwind operator with the central-difference operator. Additionally, it is shown that the implicit equations can be solved by relaxation; for this purpose, a 3-stage iterative algorithm is proposed.
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https://hal.inria.fr/inria-00073860
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 1:55:56 PM
Last modification on : Saturday, January 27, 2018 - 1:31:31 AM
Long-term archiving on: : Monday, April 5, 2010 - 12:00:26 AM

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  • HAL Id : inria-00073860, version 1

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Marie-Claude Ciccoli, Jean-Antoine Desideri. Spectral Analysis of Defect-Correction Algorithms for Hyperbolic Equations. RR-2831, INRIA. 1996. ⟨inria-00073860⟩

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