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The Smoothing Property for Regular Splittings

  • Arnold Reusken
Part of the Notes on Numerical Fluid Mechanics (NNFM) book series (NNFM, volume 29)

Summary

In this paper we discuss convergence of multigrid methods with respect to the maximum norm for 2D elliptic boundary value problems. Our analysis uses Hackbusch’s framework based on the Smoothing Property and Approximation Property (cf. [4]). We present a rather general framework for establishing the Smoothing Property in the maximum norm. The analysis fits in nicely with the classical theory of diagonally dominant matrices and of M-matrices.

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Copyright information

© Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden 1993

Authors and Affiliations

  • Arnold Reusken
    • 1
  1. 1.Department of Mathematics and Computing ScienceEindhoven University of TechnologyEindhovenThe Netherlands

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