Singularity Subtraction for Nearly Singular Integrals on Curvilinear Triangular Elements

被引:7
|
作者
Chen, Kun [1 ]
Song, Jiming [1 ]
机构
[1] Iowa State Univ, Dept Elect & Comp Engn, Ames, IA 50011 USA
基金
美国国家科学基金会;
关键词
Nearly singular integrals; singularity cancellation; singularity subtraction; NUMERICAL EVALUATION; TRANSFORMATION;
D O I
10.1109/LAWP.2015.2411224
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This letter proposes a general singularity subtraction scheme to handle nearly singular 2-D integrals on curved triangular elements arising in high order method of moments (MoM) solution to surface integral equations. The approach works for kernels with various orders of singularity, and has very fast convergence. Comparisons are made between the proposed approach and the singularity cancellation schemes.
引用
收藏
页码:1435 / 1438
页数:4
相关论文
共 50 条
  • [31] Cubature formulae for nearly singular and highly oscillating integrals
    Occorsio, Donatella
    Serafini, Giada
    CALCOLO, 2018, 55 (01)
  • [32] Simple scheme for the numerical evaluation of nearly singular integrals
    John, GC
    Hasbun, JE
    Singh, VA
    COMPUTERS IN PHYSICS, 1997, 11 (03): : 293 - 298
  • [33] Preliminary Behavior Analysis of Curvilinear Triangular Quadrature Elements
    Xu, Jia
    Zhong, Hongzhi
    PROCEEDINGS OF THE FIRST INTERNATIONAL CONFERENCE ON INFORMATION SCIENCES, MACHINERY, MATERIALS AND ENERGY (ICISMME 2015), 2015, 126 : 285 - 288
  • [34] A systematic derived sinh based method for singular and nearly singular boundary integrals
    Xie, Guizhong
    Li, Ke
    Zhong, Yudong
    Li, Hao
    Hao, Bing
    Du, Wenliao
    Sun, Chunya
    Wang, Haoqi
    Wen, Xiaoyu
    Wang, Liangwen
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2021, 123 : 147 - 153
  • [35] APPROXIMATION ORDER OF SINGULAR INTEGRALS WITH A LOGARITHMIC-POWER SINGULARITY
    SHESHKO, MA
    DOKLADY AKADEMII NAUK BELARUSI, 1976, 20 (11): : 975 - 976
  • [36] A novel semi-analytical algorithm of nearly singular integrals on higher order elements in two dimensional BEM
    Niu, Zhongrong
    Hu, Zongjun
    Cheng, Changzheng
    Zhou, Huanlin
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2015, 61 : 42 - 51
  • [37] The sinh transformation for evaluating nearly singular boundary element integrals over high-order geometry elements
    Gu, Yan
    Chen, Wen
    Zhang, Chuanzeng
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2013, 37 (02) : 301 - 308
  • [38] Evaluation of nearly singular integrals in isogeometric boundary element method
    Gong, Y. P.
    Dong, C. Y.
    Bai, Y.
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2017, 75 : 21 - 35
  • [39] Computation of nearly singular integrals in 3D BEM
    Zhang, Yaoming
    Li, Xiaochao
    Sladek, Vladimir
    Sladek, Jan
    Gao, Xiaowei
    Engineering Analysis with Boundary Elements, 2014, 48 : 32 - 42
  • [40] Computation of nearly singular integrals in 3D BEM
    Zhang, Yaoming
    Li, Xiaochao
    Sladek, Vladimir
    Sladek, Jan
    Gao, Xiaowei
    Engineering Analysis with Boundary Elements, 2014, 48 : 32 - 42