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On Coordinate Transformations for Summation-by-Parts Operators

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Abstract

High order finite difference methods obeying a summation-by-parts (SBP) rule are developed for equidistant grids. With curvilinear grids, a coordinate transformation operator that does not destroy the SBP property must be used. We show that it is impossible to construct such an operator without decreasing the order of accuracy of the method.

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Authors and Affiliations

  1. Department of Information Technology, Uppsala University, Uppsala, Sweden

    M. Svärd

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  1. M. Svärd
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Svärd, M. On Coordinate Transformations for Summation-by-Parts Operators. Journal of Scientific Computing 20, 29–42 (2004). https://doi.org/10.1023/A:1025881528802

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  • DOI: https://doi.org/10.1023/A:1025881528802

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