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Partitions for Spectral (Finite) Volume Reconstruction in the Tetrahedron

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Abstract

In this paper, we compute partitions of the tetrahedron for up to the fourth-order spectral volume reconstruction. Certain optimization is made to these partitions and previously obtained partitions of lower dimensional simplex. These optimized partitions have the smallest Lebesgue constants among currently known spectral volume partitions.

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Authors and Affiliations

  1. Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN, 55455, USA

    Qian-Yong Chen

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  1. Qian-Yong Chen
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Correspondence to Qian-Yong Chen.

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Chen, QY. Partitions for Spectral (Finite) Volume Reconstruction in the Tetrahedron. J Sci Comput 29, 299–319 (2006). https://doi.org/10.1007/s10915-005-9009-0

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  • DOI: https://doi.org/10.1007/s10915-005-9009-0

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