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Intrinsic supersmoothness of multivariate splines

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Abstract

We show that many spaces of multivariate splines possess additional smoothness (supersmoothness) at certain faces where polynomial pieces join together. This phenomenon affects the dimension and interpolating properties of splines spaces. The supersmoothness is caused by the geometry of the underlying partition.

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Authors and Affiliations

  1. Department of Mathematics, Towson University, Towson, MD, 21252, USA

    T. Sorokina

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  1. T. Sorokina
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Correspondence to T. Sorokina.

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T. Sorokina was supported by the Faculty Development and Research Committee grant from Towson University.

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Sorokina, T. Intrinsic supersmoothness of multivariate splines. Numer. Math. 116, 421–434 (2010). https://doi.org/10.1007/s00211-010-0306-7

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  • DOI: https://doi.org/10.1007/s00211-010-0306-7

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