A simple, accurate scheme for the numerical evaluation of integrals with complex singularity poles

被引：0
|
作者：
N. A. Dumont
M. A. M. Noronha
机构：
[1] Pontificia Universidade Católica do Rio de Janeiro (PUC-Rio) 22453-900 Rio de Janeiro,
[2] Brazil E-mail: dumont@civ.puc-rio.br,undefined
[3] marcos@civ.puc-rio.br,undefined
来源：
Computational Mechanics | 1998年 / 22卷
关键词：
Integral Equation; Good Knowledge; Computational Effort; Numerical Evaluation; Equation Formulation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The procedure proposed herein is to the authors' best knowledge the only mathematically consistent technique for dealing with general quasi-singularities that occur in the boundary integral equation formulations. Its implementation results in a robust code and implies in no additional computational effort.
引用
收藏
页码：42 / 49
页数：7
相关论文
共 50 条
  • [1] A simple, accurate scheme for the numerical evaluation of integrals with complex singularity poles
    Dumont, NA
    Noronha, MAM
    COMPUTATIONAL MECHANICS, 1998, 22 (01) : 42 - 49
  • [2] ON THE EFFICIENT NUMERICAL EVALUATION OF INTEGRALS WITH COMPLEX SINGULARITY POLES
    DUMONT, NA
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1994, 13 (02) : 155 - 168
  • [3] Simple scheme for the numerical evaluation of nearly singular integrals
    John, GC
    Hasbun, JE
    Singh, VA
    COMPUTERS IN PHYSICS, 1997, 11 (03): : 293 - 298
  • [4] NUMERICAL EVALUATION OF LINE INTEGRALS WITH A LOGARITHMIC SINGULARITY
    KATSIKADELIS, JT
    ARMENAKAS, AE
    AIAA JOURNAL, 1985, 23 (07) : 1135 - 1137
  • [5] NUMERICAL EVALUATION OF LINE INTEGRALS WITH A LOGARITHMIC SINGULARITY.
    Katsikadelis, John T.
    Armenakas, Anthony E.
    AIAA journal, 1985, 23 (07): : 1135 - 1137
  • [6] A SIMPLE AND ACCURATE METHOD FOR THE EVALUATION OF THE MILNE INTEGRALS
    AVRETT, EH
    LOESER, R
    JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1963, 3 (02): : 201 - 208
  • [7] On the accurate numerical evaluation of geodetic convolution integrals
    Hirt, C.
    Featherstone, W. E.
    Claessens, S. J.
    JOURNAL OF GEODESY, 2011, 85 (08) : 519 - 538
  • [8] On the accurate numerical evaluation of geodetic convolution integrals
    C. Hirt
    W. E. Featherstone
    S. J. Claessens
    Journal of Geodesy, 2011, 85 : 519 - 538
  • [9] A NUMERICAL METHOD FOR EVALUATION OF COMPLEX INTEGRALS
    ASTROM, KJ
    JURY, EI
    AGNIEL, RG
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1970, AC15 (04) : 468 - &
  • [10] NUMERICAL EVALUATION OF DOUBLE INTEGRALS WITH A LOGARITHMIC OR CAUCHY-TYPE SINGULARITY
    KATSIKADELIS, JT
    ARMENAKAS, AE
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1983, 50 (03): : 682 - 684
12345