IsoGeometric analysis using T-splines on two-patch geometries

被引：56
作者：
da Veiga, L. Beira [2 ]
Buffa, A. [1 ]
Cho, D. [1 ]
Sangalli, G. [3 ]
机构：
[1] CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy
[2] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
[3] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2011年 / 200卷 / 21-22期
基金：
欧洲研究理事会;
关键词：
IsoGeometric analysis; T-splines; Approximation; Error estimates; FLUID-STRUCTURE INTERACTION; NONLINEAR ELASTICITY; FINITE-ELEMENTS; BLOOD-FLOW; NURBS; REFINEMENT; APPROXIMATIONS;
D O I：
10.1016/j.cma.2011.02.005
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We develop optimal approximation estimates for T-splines in the case of geometries obtained by gluing two standard tensor product patches. We derive results both for the T-spline space in the parametric domain and the mapped T-NURBS in the physical one. A set of numerical tests in complete accordance with the theoretical developments is also presented. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：1787 / 1803
页数：17
相关论文
共 30 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]   ISOGEOMETRIC COLLOCATION METHODS [J].
Auricchio, F. ;
Da Veiga, L. Beirao ;
Hughes, T. J. R. ;
Reali, A. ;
Sangalli, G. .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2010, 20 (11) :2075-2107
[3]   The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations [J].
Auricchio, F. ;
da Veiga, L. Beirao ;
Lovadina, C. ;
Reali, A. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (5-8) :314-323
[4]   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
[5]   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
[6]   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
[7]   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
[8]   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
[9]   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
[10]   Isogeometric shell analysis: The Reissner-Mindlin shell [J].
Benson, D. J. ;
Bazilevs, Y. ;
Hsu, M. C. ;
Hughes, T. J. R. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (5-8) :276-289
123