On degree elevation of T-splines

被引：4
作者：
Zhang, Jingjing [1 ]
Li, Xin [1 ]
机构：
[1] Univ Sci & Technol China, Hefei, Anhui, Peoples R China
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2016年 / 46卷
关键词：
T-splines; Analysis-suitable T-splines; Degree elevation; ISOGEOMETRIC ANALYSIS; LINEAR INDEPENDENCE; REFINEMENT; CONTINUITY;
D O I：
10.1016/j.cagd.2016.05.010
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A degree elevation algorithm is presented for T-splines. We also provide two optimized degree elevation algorithms to restrict the resulting T-splines to be analysis-suitable. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：16 / 29
页数：14
相关论文
共 29 条
[1]   Isogeometric analysis using T-splines [J].
Bazilevs, Y. ;
Calo, V. M. ;
Cottrell, J. A. ;
Evans, J. A. ;
Hughes, T. J. R. ;
Lipton, S. ;
Scott, M. A. ;
Sederberg, T. W. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (5-8) :229-263
[2]   A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM [J].
Benson, D. J. ;
Bazilevs, Y. ;
De Luycker, E. ;
Hsu, M. -C. ;
Scott, M. ;
Hughes, T. J. R. ;
Belytschko, T. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2010, 83 (06) :765-785
[3]   A phase-field description of dynamic brittle fracture [J].
Borden, Michael J. ;
Verhoosel, Clemens V. ;
Scott, Michael A. ;
Hughes, Thomas J. R. ;
Landis, Chad M. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 217 :77-95
[4]   Characterization of T-splines with reduced continuity order on T-meshes [J].
Buffa, A. ;
Cho, D. ;
Kumar, M. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 201 :112-126
[5]   Linear independence of the T-spline blending functions associated with some particular T-meshes [J].
Buffa, A. ;
Cho, D. ;
Sangalli, G. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (23-24) :1437-1445
[6]   Studies of refinement and continuity in isogeometric structural analysis [J].
Cottrell, J. A. ;
Hughes, T. J. R. ;
Reali, A. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (41-44) :4160-4183
[7]  
Cottrell J.A., 2009, Isogeometric Analysis: Towards Unification of Computer Aided Design and Finite Element Analysis
[8]   IsoGeometric analysis using T-splines on two-patch geometries [J].
da Veiga, L. Beira ;
Buffa, A. ;
Cho, D. ;
Sangalli, G. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (21-22) :1787-1803
[9]   Analysis-Suitable T-splines are Dual-Compatible [J].
da Veiga, L. Beirao ;
Buffa, A. ;
Cho, D. ;
Sangalli, G. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 249 :42-51
[10]   Some estimates for h-p-k-refinement in Isogeometric Analysis [J].
da Veiga, L. Beirao ;
Buffa, A. ;
Rivas, J. ;
Sangalli, G. .
NUMERISCHE MATHEMATIK, 2011, 118 (02) :271-305
123