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 50 条
  • [31] Local-length-scale calculation in T-splines meshes for complex geometries
    Mikawa, Shohei
    Takizawa, Kenji
    Otoguro, Yuto
    Terahara, Takuya
    Tezduyar, Tayfun E.
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2024, 34 (10): : 1933 - 1970
  • [32] Isogeometric analysis of large thin shell structures based on weak coupling of substructures with unstructured T-splines patches
    Liu Zhenyu
    Cheng Jin
    Yang Minglong
    Yuan Pei
    Qiu Chan
    Gao Wei
    Tan Jianrong
    ADVANCES IN ENGINEERING SOFTWARE, 2019, 135
  • [33] Isogeometric topology optimization for innovative designs of the reinforced TPMS unit cells with curvy stiffeners using T-splines
    Zhang, Xiao
    Xiao, Mi
    Luo, Wei
    Gao, Liang
    Gao, Jie
    COMPOSITE STRUCTURES, 2025, 357
  • [34] Bases and dimensions of C1-smooth isogeometric splines on volumetric two-patch domains (vol 99, pg 46, 2018)
    Birner, Katharina
    Juettler, Bert
    Mantzaflaris, Angelos
    GRAPHICAL MODELS, 2019, 105
  • [35] Construction of smooth branching surfaces using T-splines
    Ginnis, A. I.
    Kostas, K. V.
    Kaklis, P. D.
    COMPUTER-AIDED DESIGN, 2017, 92 : 22 - 32
  • [36] Numerical Analysis of the Cylindrical Shell Pipe with Preformed Holes Subjected to a Compressive Load Using Non-Uniform Rational B-Splines and T-Splines for an Isogeometric Analysis Approach
    EL Fakkoussi, Said
    Koubaiti, Ouadie
    Elkhalfi, Ahmed
    Vlase, Sorin
    Marin, Marin
    AXIOMS, 2024, 13 (08)
  • [37] Local refinement of analysis-suitable T-splines
    Scott, M. A.
    Li, X.
    Sederberg, T. W.
    Hughes, T. J. R.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 213 : 206 - 222
  • [38] SOME PROPERTIES FOR ANALYSIS-SUITABLE T-SPLINES
    Li, Xin
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2015, 33 (04) : 428 - 442
  • [39] Local spline projectors of analysis-suitable T-splines
    Xu, Hailun
    Kang, Hongmei
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 462
  • [40] Analysis-Suitable T-splines are Dual-Compatible
    da Veiga, L. Beirao
    Buffa, A.
    Cho, D.
    Sangalli, G.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 249 : 42 - 51
12345