Applied Mathematics and Mechanics

, Volume 22, Issue 6, pp 664–673 | Cite as

Analytical treatment of boundary integrals in direct boundary element analysis of plan potential and elasticity problems

  • Zhang Yao-ming
  • Sun Huan-chun


An analytical scheme, which avoids using the standard Gaussian approximate quadrature to treat the boundary integrals in direct boundary element method (DBEM) of two-dimensional potential and elastic problems, is established. With some numerical results, it is shown that the better precision and high computational efficiency, especially in the band of the domain near boundary, can be derived by the present sheme.

Key words

potential/elasticity problems analytical method boundary element 

CLC number



Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Hartman F.Introduction to Boundary Element: Theory and Applications [M]. Berlin: Springer, 1989.Google Scholar
  2. [2]
    Brebbia C A, Tells J C F, Wrobel L C.Boundary Element Techniques [M]. Berlin, Heidelberg, New York, Tokyo: Springer-Verlag, 1984.Google Scholar
  3. [3]
    Huang Q, Cruse T A. Some notes on singular integral technique in boundary element analysis [J].Internat J Numer Methods Engrg, 1993,36(3):2643–2659.MATHMathSciNetCrossRefGoogle Scholar
  4. [4]
    ZHANG Yao-ming, SUN Huan-chun. Theoretic analysis on virtual boundary element[J].Chinese Journal of Computational Mechanics, 2000,17(1):56–62. (in Chinese)Google Scholar
  5. [5]
    SUN Huan-chun, ZHANG Yao-ming.Nosingulars Boundary Element Method[M]. Dalian: Dalian University of Technology Press, 1999. (in Chinese).Google Scholar
  6. [6]
    Guigglani M, Casalini P. Direct computation of Cauchy principal value integral in advanced boundary elements[J].Internat J Numer Methods Engrg, 1987,24(8):1711–1720.MathSciNetCrossRefGoogle Scholar

Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2001

Authors and Affiliations

  • Zhang Yao-ming
    • 1
  • Sun Huan-chun
    • 2
  1. 1.Department of Mathematics and PhysicsShandong Institute of engineeringZiboP R China
  2. 2.Department of MechanicsDalian University of TechnologyDalianP R China

Personalised recommendations