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On the Algebraic Construction of Multilevel Transfer Operators (for Convection-Diffusion-Reaction Equations)

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Multigrid Methods VI

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 14))

Abstract

A construction scheme for prolongation and restriction operators for multilevel methods is introduced. The algorithm uses information from the system matrix only and has been generalized to certain types of convection-diffusionreaction equations. Some numerical experiments confirm the efficiency of the presented method.

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References

  1. N. Neuss. A new sparse matrix storage methode for adaptive solving of reactiondiffusion-transport equations. In Keil, Mackens, Voß, and Werther, editors, Scientific Computing in Chemical Engineering II. Springer, Berlin, 1999.

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  4. C. Wagner. On the algebraic construction of multilevel transfer operators. Com-puting, 1999. submitted.

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© 2000 Springer-Verlag Berlin Heidelberg

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Wagner, C. (2000). On the Algebraic Construction of Multilevel Transfer Operators (for Convection-Diffusion-Reaction Equations). In: Dick, E., Riemslagh, K., Vierendeels, J. (eds) Multigrid Methods VI. Lecture Notes in Computational Science and Engineering, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58312-4_36

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  • DOI: https://doi.org/10.1007/978-3-642-58312-4_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67157-2

  • Online ISBN: 978-3-642-58312-4

  • eBook Packages: Springer Book Archive

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