An effective boundary element method for inhomogeneous partial differential equations

  • C. J. Coleman
  • D. L. Tullock
  • N. Phan-Thien
Original Papers

Abstract

A method for removing the domain or volume integral arising in boundary integral formulations for linear inhomogeneous partial differential equations is presented. The technique removes the integral by considering a particular solution to the homogeneous partial differential equation which approximates the inhomogeneity in terms of radial basis functions. The remainder of the solution will then satisfy a homogeneous partial differential equation and hence lead to an integral equation with only boundary contributions. Some results for the inhomogeneous Poisson equation and for linear elastostatics with known body forces are presented.

Keywords

Differential Equation Integral Equation Basis Function Partial Differential Equation Mathematical Method 

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Copyright information

© Birkhäuser Verlag 1991

Authors and Affiliations

  • C. J. Coleman
    • 1
  • D. L. Tullock
    • 1
  • N. Phan-Thien
    • 1
  1. 1.Dept of Mechanical EngineeringThe University of SydneyAustralia

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