Generalized B-Splines in Isogeometric Analysis

被引：9
|
作者：
Manni, Carla [1 ]
Roman, Fabio [2 ]
Speleers, Hendrik [1 ]
机构：
[1] Univ Roma Tor Vergata, Dept Math, Via Ric Sci, I-00133 Rome, Italy
[2] Univ Turin, Dept Math, Via Carlo Alberto 10, I-10123 Turin, Italy
来源：
APPROXIMATION THEORY XV | 2017年 / 201卷
关键词：
Generalized B-splines; Isogeometric analysis; Galerkin and collocation methods; T-MESHES; POLYNOMIAL SPLINES; SPACES; APPROXIMATION; BASES; ALTERNATIVES; DIMENSION;
D O I：
10.1007/978-3-319-59912-0_12
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we survey the use of generalized B-splines in isogeometric Galerkin and collocation methods. Generalized B-splines are a special class of Tchebycheffian B-splines and form an attractive alternative to standard polynomial B-splines and NURBS in both modeling and simulation. We summarize their definition and main properties, and we illustrate their use in a selection of numerical examples in the context of isogeometric analysis. For practical applications, we mainly focus on trigonometric and hyperbolic generalized B-splines.
引用
收藏
页码：239 / 267
页数：29
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