Linear independence of the T-spline blending functions associated with some particular T-meshes

被引:108
作者
Buffa, A. [1 ]
Cho, D. [1 ]
Sangalli, G. [2 ]
机构
[1] CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy
[2] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy
基金
欧洲研究理事会;
关键词
Isogeometric analysis; T-splines; Linear independence; FLUID-STRUCTURE INTERACTION; ISOGEOMETRIC ANALYSIS; BLOOD-FLOW; NURBS; REFINEMENT; ELASTICITY; ELEMENTS;
D O I
10.1016/j.cma.2009.12.004
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Based on the local refinement algorithm addressed in Sederberg et al. (2004) [17], we analyze the linear independence of the bi-cubic T-spline blending functions corresponding to particular T-meshes. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:1437 / 1445
页数:9
相关论文
共 20 条
[1]   A fully "locking-free" isogeometric approach for plane linear elasticity problems: A stream function formulation [J].
Auricchio, F. ;
da Veiga, L. Beirao ;
Buffa, A. ;
Lovadina, C. ;
Reali, A. ;
Sangalli, G. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 197 (1-4) :160-172
[2]   NURBS-based isogeometric analysis for the computation of flows about rotating components [J].
Bazilevs, Y. ;
Hughes, T. J. R. .
COMPUTATIONAL MECHANICS, 2008, 43 (01) :143-150
[3]   Isogeometric fluid-structure interaction: theory, algorithms, and computations [J].
Bazilevs, Y. ;
Calo, V. M. ;
Hughes, T. J. R. ;
Zhang, Y. .
COMPUTATIONAL MECHANICS, 2008, 43 (01) :3-37
[4]   Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows [J].
Bazilevs, Y. ;
Calo, V. M. ;
Cottrell, J. A. ;
Hughes, T. J. R. ;
Reali, A. ;
Scovazzi, G. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 197 (1-4) :173-201
[5]   Isogeometric analysis:: Approximation, stability and error estimates for h-refined meshes [J].
Bazilevs, Y. ;
Da Veiga, L. Beirao ;
Cottrell, J. A. ;
Hughes, T. J. R. ;
Sangalli, G. .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2006, 16 (07) :1031-1090
[6]   Isogeometric fluid-structure interaction analysis with applications to arterial blood flow [J].
Bazilevs, Y. ;
Calo, V. M. ;
Zhang, Y. ;
Hughes, T. J. R. .
COMPUTATIONAL MECHANICS, 2006, 38 (4-5) :310-322
[7]   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
[8]  
BUFFA A, 2009, ISOGEOMETRIC ANAL EL
[9]   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
[10]   Isogeometric analysis of structural vibrations [J].
Cottrell, J. A. ;
Reali, A. ;
Bazilevs, Y. ;
Hughes, T. J. R. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (41-43) :5257-5296