A family of C1 Clough-Tocher spline spaces on C0 piecewise quadratic domain partitions

被引：0

作者：

Groselj, Jan

Knez, Marjeta ^{[1
]}

机构：

[1] Univ Ljubljana, Fac Math & Phys, Jadranska 19, Ljubljana 1000, Slovenia

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2025年 / 234卷

关键词：

Quadratic triangle; Quadratic triangulation; Isogeometric functions; Clough-Tocher refinement; Spline space; Dimension; Basis functions; ISOGEOMETRIC ANALYSIS;

D O I：

10.1016/j.matcom.2025.03.006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The paper addresses the construction of C1 splines on a curved domain that is parametrized by a C0 piecewise geometry mapping composed of quadratic B & eacute;zier triangles. The C1 splines are assembled from polynomials of a chosen total degree greater than or equal to four, and their construction is based on the Clough-Tocher splitting technique that ensures locality. In particular, the splines are locally characterized by an interpolation problem described by Hermite data, which resembles the standard macro-element concepts developed for C1 splines on triangulations.

引用

页码：368 / 389

页数：22

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