For thermoelasticity and elasticity with a body force, the regular boundary
element method involves a domain integral. Special techniques have been de
vised to eliminate the domain integral by either exact treatment, or approx
imation using radial basis functions. This paper gives a unified presentati
on of these techniques. Body forces of gravity, centrifugal, gradient, harm
onic, and arbitrary types are investigated. In the approximation by radial
basis function, existing work is extended to include higher order basis fun
ctions of conical, spline, and polynomial types. (C) 2001 Elsevier Science
Ltd. All rights reserved.