Abstract
In this chapter, the Lagrange interpolation method on type-4 cube partitions constructed by Matt and Nürnberger [67] is introduced. In section 4.1, we consider cube partitions and their classification. Subsequently, in section 4.2, we examine the type-4 partition, which is obtained by dividing each cube of a partition into five tetrahedra, according to the classification of the previous section. In section 4.3, the tetrahedra of a type-4 partition are refined with partial Worsey-Farin splits based on the classification of the cubes and the location of the tetrahedra in these.
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© 2012 Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden
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Matt, M.A. (2012). Local Lagrange interpolation by cubic C1 splines on type-4 cube partitions. In: Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-8348-2384-7_4
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DOI: https://doi.org/10.1007/978-3-8348-2384-7_4
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-8348-2383-0
Online ISBN: 978-3-8348-2384-7
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