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Bounds on the dimensions of trivariate spline spaces

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Abstract

We derive upper and lower bounds on the dimensions of trivariate spline spaces defined on tetrahedral partitions. The results hold for general partitions, and for all degrees of smoothness r and polynomial degrees d.

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Correspondence to Peter Alfeld.

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Communicated by Juan Manuel Peña.

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Alfeld, P., Schumaker, L.L. Bounds on the dimensions of trivariate spline spaces. Adv Comput Math 29, 315–335 (2008). https://doi.org/10.1007/s10444-007-9051-6

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  • DOI: https://doi.org/10.1007/s10444-007-9051-6

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