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Error analysis of the combination technique

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Summary.

The combination technique is a method to reduce the computational time in the numerical approximation of partial differential equations. In this paper, we present a new technique to analyze the convergence rate of the combination technique. This technique is applied to general second order elliptic differential equations in two dimensions. Furthermore, it is proved that the combination technique for Poisson's equation convergences in arbitrary dimensions.

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Authors and Affiliations

  1. Institut für Angewandte Mathematik und Statistik, Am Hubland, D-97074 Würzburg, Germany , , , , , , DE

    C. Pflaum

  2. Institute of Systems Science, Academia Sinica, Beijing, China , , , , , , CN

    A. Zhou

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  1. C. Pflaum
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  2. A. Zhou
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Received September 25, 1997 / Revised version received October 22, 1998 / Published online September 7, 1999

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Pflaum, C., Zhou, A. Error analysis of the combination technique. Numer. Math. 84, 327–350 (1999). https://doi.org/10.1007/s002110050474

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  • DOI: https://doi.org/10.1007/s002110050474

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