Refinable C2 piecewise quintic polynomials on Powell–Sabin-12 triangulations

Davydov, Oleg and Yeo, Wee Ping (2013) Refinable C2 piecewise quintic polynomials on Powell–Sabin-12 triangulations. Journal of Computational and Applied Mathematics, 240. pp. 62-73. ISSN 0377-0427

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Abstract

We present a construction of nested spaces of C2 macro-elements of degree 5 on triangulations of a polygonal domain obtained by uniform refinements of an initial triangulation and a Powell–Sabin-12 split.