SENSITIVITY TO GAUSS QUADRATURE OF ISOGEOMETRIC BOUNDARY ELEMENT METHOD FOR 2D POTENTIAL PROBLEMS

被引：0
|
作者：
Alia, Ahlem [1 ]
Ben Said, Hasna [2 ]
机构：
[1] Univ Lille, Ctr Natl Rech Sci, Unite Mixte Rech 9013 LaMcube Lab Mecan, Cent Lille, Lille, France
[2] Fac Sci Gafsa, Dept Filieres Technol, Gafsa, Tunisia
来源：
JOURNAL OF THEORETICAL AND APPLIED MECHANICS | 2023年 / 61卷 / 03期
关键词：
potential problems; isogeometric analysis; boundary element method; Gauss quadrature; COLLOCATION; RULES; NURBS;
D O I：
10.15632/jtam-pl/166466
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
IsoGeometric Analysis (IGA) is widely used because it links exact geometry to analysis. When IGA is applied within the Boundary Element framework (IGBEM), and under certain boundary conditions, discretization errors can be suppressed leading to an accurate estimation of the integration errors. By using the IGBEM for potential problems, the effect of Gauss quadrature on the accuracy of each term arising in the IGBEM is studied for smooth geometry under constant boundary conditions. The results show that the method of computing singular integrals in the IGBEM is efficient. Results can be improved by selecting optimal numbers of Gauss points for both integrals.
引用
收藏
页码：585 / 597
页数：13
相关论文
共 50 条
  • [21] Design sensitivity analysis for potential problems by the derivative boundary element method
    Aksel, G.
    Mukherjee, S.
    Proceedings of the International Symposium on Boundary Element Methods: Advances in Solid and Fluid Mechanics, 1990,
  • [22] New Sensitivity Indices of a 2D Flood Inundation Model Using Gauss Quadrature Sampling
    Oubennaceur, Khalid
    Chokmani, Karem
    Nastev, Miroslav
    Gauthier, Yves
    Poulin, Jimmy
    Tanguy, Marion
    Raymond, Sebastien
    Lhissou, Rachid
    GEOSCIENCES, 2019, 9 (05)
  • [23] The boundary element-free method for 2D interior and exterior Helmholtz problems
    Chen, Linchong
    Liu, Xin
    Li, Xiaolin
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (03) : 846 - 864
  • [24] NURBS-enhanced boundary element method based on independent geometry and field approximation for 2D potential problems
    Zhou, Wei
    Liu, Biao
    Wang, Qiao
    Cheng, Yonggang
    Ma, Gang
    Chang, Xiaolin
    Chen, Xudong
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2017, 83 : 158 - 166
  • [25] Development of the boundary element method for 2D piezoelectricity
    Denda, M
    Lua, J
    COMPOSITES PART B-ENGINEERING, 1999, 30 (07) : 699 - 707
  • [26] Analytical integration in the 2D boundary element method
    Pina, HL
    COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1997, 13 (09): : 715 - 725
  • [27] Implementation of Isogeometric Fast Multipole Boundary Element Methods for 2D Half-Space Acoustic Scattering Problems with Absorbing Boundary Condition
    Chen, Leilei
    Marburg, Steffen
    Zhao, Wenchang
    Liu, Cheng
    Chen, Haibo
    JOURNAL OF THEORETICAL AND COMPUTATIONAL ACOUSTICS, 2019, 27 (02):
  • [28] Isogeometric boundary element method for isotropic damage elastic mechanical problems
    Li, Kunpeng
    Yang, Ting
    Jiang, Wei
    Zhao, Kaiqiang
    Zhao, Kaibing
    Xu, Xinyang
    THEORETICAL AND APPLIED FRACTURE MECHANICS, 2023, 124
  • [29] Solutions of 2D and 3D non-homogeneous potential problems by using a boundary element-collocation method
    Qu, Wenzhen
    Chen, Wen
    Fu, Zhuojia
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2015, 60 : 2 - 9
  • [30] Isogeometric dual reciprocity boundary element method for acoustic scattering problems
    Zhang S.
    Yu B.
    Shengxue Xuebao/Acta Acustica, 2024, 49 (04): : 879 - 904
12345