Author(s)

S.-J. Liao

Abstract

In this paper, the basic ideas described in [4] is greatly generalized to give a kind of high-order BEM formulations for strongly non-linear problems governed by quite general differential operators which may NOT contain any linear operators at all. As a result, the traditional BEM which treats the non-linear terms as the inhomogeneities is only a special case of the proposed BEM. One simple example is used to illustrate its effectiveness 1 Introduction Although BEM is in principle based on the linear superposition of fun- damental solutions, many researchers have applied it to solve non-linear boundary-value problems governed by the non-linear differential operator A: -4W = /(F). (1) If this non-linear operator A can be divide

Keywords