Author(s)

J.T. Katsikadelis & M.S. Nerantzaki

Abstract

In this paper a boundary-only BEM is developed for solving nonlinear problems or linear ones, for which the fundamental solution can not be established The presented method is based on the analog equation method (AEM). According to this method the governing equation is replaced by an equivalent nonhomogeneous linear one with known fundamental solution. The solution of the substitute equation is obtained as a sum of the homogeneous solution and a particular one of the nonhomogeneous. The nonhomogeneous term, which is an unknown fictitious domain source distribution, is approximated by a truncated series of radial base functions. Then, using BEM the field function and its derivatives involved in the governing equation are expressed

Keywords