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

Oleg Davydov; Wee Ping Yeo

doi:10.1016/j.cam.2012.08.006

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

Oleg Davydov, Wee Ping Yeo

Mathematics And Statistics

Research output: Contribution to journal › Article

6 Citations (Scopus)

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.

Language	English
Pages	62-73
Number of pages	12
Journal	Journal of Computational and Applied Mathematics
Volume	240
DOIs	10.1016/j.cam.2012.08.006
Publication status	Published - 1 Mar 2013

Fingerprint

Quintic

Triangulation

Polynomials

Macroelements

Polynomial

Macros

Refinement

Keywords

refinable spline spaces
Powell-Sabin-12 split
Bivariate C2 spline spaces
macro-elements

Cite this

Davydov, O., & Yeo, W. P. (2013). Refinable C2 piecewise quintic polynomials on Powell–Sabin-12 triangulations. Journal of Computational and Applied Mathematics, 240, 62-73. https://doi.org/10.1016/j.cam.2012.08.006

Davydov, Oleg ; Yeo, Wee Ping. / Refinable C2 piecewise quintic polynomials on Powell–Sabin-12 triangulations. In: Journal of Computational and Applied Mathematics. 2013 ; Vol. 240. pp. 62-73.

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Davydov, O & Yeo, WP 2013, 'Refinable C2 piecewise quintic polynomials on Powell–Sabin-12 triangulations' Journal of Computational and Applied Mathematics, vol. 240, pp. 62-73. https://doi.org/10.1016/j.cam.2012.08.006

Refinable C2 piecewise quintic polynomials on Powell–Sabin-12 triangulations. / Davydov, Oleg; Yeo, Wee Ping.

In: Journal of Computational and Applied Mathematics, Vol. 240, 01.03.2013, p. 62-73.

Research output: Contribution to journal › Article

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AU - Yeo, Wee Ping

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KW - Powell-Sabin-12 split

KW - Bivariate C2 spline spaces

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