Local refinement of analysis-suitable T-splines

被引：300

作者：

Scott, M. A. ^{[1
]}

Li, X. ^{[2
]}

Sederberg, T. W. ^{[3
]}

Hughes, T. J. R. ^{[1
]}

机构：

[1] Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA

[2] Univ Sci & Technol China, Hefei 230026, Anhui, Peoples R China

[3] Brigham Young Univ, Dept Comp Sci, Provo, UT 84602 USA

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2012年 / 213卷

基金：

美国国家科学基金会;

关键词：

Isogeometric analysis; T-splines; Local refinement; Bezier extraction; FLUID-STRUCTURE INTERACTION; ISOGEOMETRIC ANALYSIS; NONLINEAR ELASTICITY; NURBS; CONTINUITY; MESH; CAD;

D O I：

10.1016/j.cma.2011.11.022

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We develop a local refinement algorithm for analysis-suitable T-splines which does not produce excessive propagation of control points. We then demonstrate its use as an adaptive framework for isogeometric analysis. Analysis-suitable T-splines are a class of T-splines which are linearly independent and form a partition of unity. These properties, coupled with local refinement, make this class of T-splines appealing as a basis for isogeometric analysis. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：206 / 222

页数：17

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