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Linear independence of the T-spline blending functions associated with some particular T-meshes
被引:108
作者
:
Buffa, A.
论文数:
0
引用数:
0
h-index:
0
机构:
CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy
CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy
Buffa, A.
[
1
]
Cho, D.
论文数:
0
引用数:
0
h-index:
0
机构:
CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy
CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy
Cho, D.
[
1
]
Sangalli, G.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy
CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy
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
来源
:
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
|
2010年
/ 199卷
/ 23-24期
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].
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Univ Pavia, Dipartimento Matemat, I-24100 Pavia, Italy
Auricchio, F.
;
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0
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h-index:
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Buffa, A.
;
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;
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Reali, A.
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Hughes, T. J. R.
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Calo, V. M.
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;
Hughes, T. J. R.
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Zhang, Y.
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Evans, J. A.
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Lipton, S.
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Lipton, S.
;
Scott, M. A.
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Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Scott, M. A.
;
Sederberg, T. W.
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Brigham Young Univ, Dept Comp Sci, Provo, UT 84602 USA
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Sederberg, T. W.
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Univ Texas, Inst Computat Engn & Sci, Computat & Appl Math Chair 3, Austin, TX 78712 USA
Bazilevs, Y.
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Hughes, T. J. R.
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Univ Texas, Inst Computat Engn & Sci, Computat & Appl Math Chair 3, Austin, TX 78712 USA
Univ Texas, Inst Computat Engn & Sci, Computat & Appl Math Chair 3, Austin, TX 78712 USA
Hughes, T. J. R.
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←
1
2
→
共 20 条
[1]
A fully "locking-free" isogeometric approach for plane linear elasticity problems: A stream function formulation
[J].
Auricchio, F.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Pavia, Dipartimento Matemat, I-24100 Pavia, Italy
Auricchio, F.
;
da Veiga, L. Beirao
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Pavia, Dipartimento Matemat, I-24100 Pavia, Italy
da Veiga, L. Beirao
;
Buffa, A.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Pavia, Dipartimento Matemat, I-24100 Pavia, Italy
Buffa, A.
;
Lovadina, C.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Pavia, Dipartimento Matemat, I-24100 Pavia, Italy
Lovadina, C.
;
Reali, A.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Pavia, Dipartimento Matemat, I-24100 Pavia, Italy
Reali, A.
;
Sangalli, G.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Pavia, Dipartimento Matemat, I-24100 Pavia, Italy
Sangalli, G.
.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,
2007,
197
(1-4)
:160
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[2]
NURBS-based isogeometric analysis for the computation of flows about rotating components
[J].
Bazilevs, Y.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Bazilevs, Y.
;
Hughes, T. J. R.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Hughes, T. J. R.
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COMPUTATIONAL MECHANICS,
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43
(01)
:143
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[3]
Isogeometric fluid-structure interaction: theory, algorithms, and computations
[J].
Bazilevs, Y.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Calif San Diego, Dept Struct Engn, La Jolla, CA 92093 USA
Univ Calif San Diego, Dept Struct Engn, La Jolla, CA 92093 USA
Bazilevs, Y.
;
Calo, V. M.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Calif San Diego, Dept Struct Engn, La Jolla, CA 92093 USA
Calo, V. M.
;
Hughes, T. J. R.
论文数:
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引用数:
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h-index:
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机构:
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Calif San Diego, Dept Struct Engn, La Jolla, CA 92093 USA
Hughes, T. J. R.
;
Zhang, Y.
论文数:
0
引用数:
0
h-index:
0
机构:
Carnegie Mellon Univ, Pittsburgh, PA 15213 USA
Univ Calif San Diego, Dept Struct Engn, La Jolla, CA 92093 USA
Zhang, Y.
.
COMPUTATIONAL MECHANICS,
2008,
43
(01)
:3
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[4]
Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
[J].
Bazilevs, Y.
论文数:
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引用数:
0
h-index:
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机构:
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Bazilevs, Y.
;
Calo, V. M.
论文数:
0
引用数:
0
h-index:
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Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Calo, V. M.
;
Cottrell, J. A.
论文数:
0
引用数:
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h-index:
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Cottrell, J. A.
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Hughes, T. J. R.
论文数:
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引用数:
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h-index:
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Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Hughes, T. J. R.
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Reali, A.
论文数:
0
引用数:
0
h-index:
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机构:
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Reali, A.
;
Scovazzi, G.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
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.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Bazilevs, Y.
;
Da Veiga, L. Beirao
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Da Veiga, L. Beirao
;
Cottrell, J. A.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Cottrell, J. A.
;
Hughes, T. J. R.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Hughes, T. J. R.
;
Sangalli, G.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
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.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Bazilevs, Y.
;
Calo, V. M.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Calo, V. M.
;
Zhang, Y.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Zhang, Y.
;
Hughes, T. J. R.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Hughes, T. J. R.
.
COMPUTATIONAL MECHANICS,
2006,
38
(4-5)
:310
-322
[7]
Isogeometric analysis using T-splines
[J].
Bazilevs, Y.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Calif San Diego, Dept Struct Engn, La Jolla, CA 92093 USA
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Bazilevs, Y.
;
Calo, V. M.
论文数:
0
引用数:
0
h-index:
0
机构:
King Abdullah Univ Sci & Technol, Jeddah 21534, Saudi Arabia
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Calo, V. M.
;
Cottrell, J. A.
论文数:
0
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0
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0
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Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Cottrell, J. A.
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Evans, J. A.
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0
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0
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0
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Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Evans, J. A.
;
Hughes, T. J. R.
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0
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0
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0
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Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Hughes, T. J. R.
;
Lipton, S.
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0
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0
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0
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Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Lipton, S.
;
Scott, M. A.
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0
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0
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0
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Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
Scott, M. A.
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Sederberg, T. W.
论文数:
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0
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机构:
Brigham Young Univ, Dept Comp Sci, Provo, UT 84602 USA
Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
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论文数:
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h-index:
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机构:
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Cottrell, J. A.
;
Hughes, T. J. R.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Hughes, T. J. R.
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Reali, A.
论文数:
0
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0
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Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA
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论文数:
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h-index:
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Univ Texas, Inst Computat Engn & Sci, Computat & Appl Math Chair 3, Austin, TX 78712 USA
Univ Texas, Inst Computat Engn & Sci, Computat & Appl Math Chair 3, Austin, TX 78712 USA
Cottrell, J. A.
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Reali, A.
论文数:
0
引用数:
0
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0
机构:
Univ Texas, Inst Computat Engn & Sci, Computat & Appl Math Chair 3, Austin, TX 78712 USA
Univ Texas, Inst Computat Engn & Sci, Computat & Appl Math Chair 3, Austin, TX 78712 USA
Reali, A.
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论文数:
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机构:
Univ Texas, Inst Computat Engn & Sci, Computat & Appl Math Chair 3, Austin, TX 78712 USA
Univ Texas, Inst Computat Engn & Sci, Computat & Appl Math Chair 3, Austin, TX 78712 USA
Bazilevs, Y.
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Hughes, T. J. R.
论文数:
0
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0
h-index:
0
机构:
Univ Texas, Inst Computat Engn & Sci, Computat & Appl Math Chair 3, Austin, TX 78712 USA
Univ Texas, Inst Computat Engn & Sci, Computat & Appl Math Chair 3, Austin, TX 78712 USA
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