A Generalized Approach to Transfer the Domain Integrals onto Boundary Ones for Potential Problems in BEM

  • W. Tang
  • C. A. Brebbia
  • J. C. F. Telles
Conference paper
Part of the Boundary Elements IX book series (BOUNDARY, volume 9/1)

Abstract

Since 19781 the boundary element method has developed very rapidly, mainly because of several important advantages. One of these advantages is that the BEM requires only the discretization of the boundary rather than the domain. However, this feature is generally lost when the source or some non-linear terms are present in the governing differential equations. Domain integral terms exist in the formulation of BEM in these cases. A similar problem occurs in time dependent problems due to the need to compute the initial condition integrals over all the domain.

Keywords

Torque Pentech 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    BREBBIA, C.A. “The Boundary Element Method for Engineers”, Pentech Press, London, 1978.Google Scholar
  2. 2.
    BREBBIA, C.A. and NARDINI,. “Dynamic Analysis in Solid Mechanics by an Alternative Boundary Element Procedure”, Int. J. Soil Dynamics and Earthquake Engineering, Vol. 2, 228–233, 1983.CrossRefGoogle Scholar
  3. 3.
    NARDINI, D. and BREBBIA, C.A. “Boundary Integral Formulation of Mass Matrices for Dynamic Analysis”, in Topics in Boundary Element Research, Vol. 2 ( C.A. Brebbia, Ed.), Springer-Verlag, Berlin & NY, 1985.Google Scholar
  4. 4.
    BREBBIA, C.A. and NARDINI, D. “Solution of Parabolic and Hyperbolic Time Dependent Problems using Boundary Elements”, Comp. & Maths, with Appls. Vol.12B, No. 5 /6, 1061–1072, 1986.MathSciNetCrossRefGoogle Scholar
  5. 5.
    WROBEL, L.C., BREBBIA, C.A. and NARDINI, D. “The Dual Reciprocity Boundary Element Formulation for Transient Heat Conduction”, in Finite Elements in Water Resources VI ( A.Sa da Costa et al., Eds.), Springer-Verlag, Berlin, 1986.Google Scholar
  6. 6.
    BREBBIA, C.A., TELLES, J.C.F. and WROBEL, L.C. “Boundary Element Methods: Techniques, Theory and Applications in Engineering”, Springer-Verlag, Berlin, 1984.Google Scholar
  7. 7.
    WILF, H.W. “Advances in Numerical Quadrature”, in Mathematical Methods for Digital Computers, ( A. Ralstong and H.S. Wilf, Eds.), John Wiley and Sons, Inc., New York, 1967.Google Scholar
  8. 8.
    TELLES, J.C.F. “A Self-adaptive Coordinate Transformation for Efficient Numerical Evaluation of General Boundary Element Integrals”, Internal Report CMI, May 1986.Google Scholar
  9. 9.
    BREBBIA, C.A. et al. “BEASY User’s Manual”, CM Consultants, Ltd., Southampton, UK, 1985.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • W. Tang
    • 1
  • C. A. Brebbia
    • 2
  • J. C. F. Telles
    • 3
  1. 1.East China Institute of Chemical TechnologyChina
  2. 2.Computational Mechanics InstituteSouthamptonUK
  3. 3.COPPE/UFRJBrazil

Personalised recommendations