Macro-elements of arbitrary smoothness over the Clough-Tocher split of a triangle

Michael A. Matt

Chapter 6 in Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness, 2012, pp 199-231 from Springer

Abstract: Abstract In this chapter, the bivariate Cr macro-elements over the Clough-Tocher split of a triangle from Matt [66] are considered. They are more general than the bivariate Cr macro-elements based on the Clough-Tocher split constructed in [59], since they can be extended to splines of higher degree. Thus, the bivariate macro-elements considered here form a basis for the construction of the trivariate macro-elements of arbitrary smoothness over theWorsey-Farin split of a tetrahedron (see chapter 8).

Date: 2012
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DOI: 10.1007/978-3-8348-2384-7_6

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