WIT Press


The Quite General BEM For Strongly Non-linear Problems

Price

Free (open access)

Paper DOI

10.2495/BE950081

Volume

10

Pages

8

Published

1995

Size

587 kb

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

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