Journal of Scientific Computing

, Volume 29, Issue 3, pp 299–319 | Cite as

Partitions for Spectral (Finite) Volume Reconstruction in the Tetrahedron

Article

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.

Keywords

Spectral volume methods Lebesgue constants finite volume reconstructions 

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Institute for Mathematics and its ApplicationsUniversity of MinnesotaMinneapolisUSA

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