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Published in:
2012 | OriginalPaper | Chapter
Local Lagrange interpolation by cubic C1 splines on type-4 cube partitions
Author : Michael A. Matt
Published in: Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness
Publisher: Vieweg+Teubner Verlag
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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.