On the generation of symmetric Lebesgue-like points in the triangle

Authors:
Francesca Rapetti;Alvise Sommariva;Marco Vianello
Affiliations:
Department of Mathematics "J.-A. Dieudonné", Université de Nice, France;Department of Pure and Applied Mathematics, University of Padova, Italy;Department of Pure and Applied Mathematics, University of Padova, Italy
Venue:
Journal of Computational and Applied Mathematics
Year:
2012

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Abstract

We compute point sets on the triangle that have low Lebesgue constant, with sixfold symmetries and Gauss-Legendre-Lobatto distribution on the sides, up to interpolation degree 18. Such points have the best Lebesgue constants among the families of symmetric points used so far in the framework of triangular spectral elements.