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Reports Year : 1996

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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Dates and versions

inria-00073860 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073860 , version 1

Cite

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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