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 › peer-review

7 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.

Original language	English
Pages (from-to)	62-73
Number of pages	12
Journal	Journal of Computational and Applied Mathematics
Volume	240
DOIs	https://doi.org/10.1016/j.cam.2012.08.006
Publication status	Published - 1 Mar 2013

Keywords

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

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10.1016/j.cam.2012.08.006

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title = "Refinable C2 piecewise quintic polynomials on Powell–Sabin-12 triangulations",

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.",

keywords = "refinable spline spaces, Powell-Sabin-12 split, Bivariate C2 spline spaces, macro-elements",

author = "Oleg Davydov and Yeo, {Wee Ping}",

year = "2013",

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language = "English",

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T1 - Refinable C2 piecewise quintic polynomials on Powell–Sabin-12 triangulations

AU - Davydov, Oleg

AU - Yeo, Wee Ping

PY - 2013/3/1

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N2 - 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.

AB - 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.

KW - refinable spline spaces

KW - Powell-Sabin-12 split

KW - Bivariate C2 spline spaces

KW - macro-elements

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U2 - 10.1016/j.cam.2012.08.006

DO - 10.1016/j.cam.2012.08.006

M3 - Article

VL - 240

SP - 62

EP - 73

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

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