Abstract
In this paper, based on a new kind of analytic: method, namely the homotopy analysis method (HAM), we greatly generalize the traditional boundary element method (BEM) and propose a so-called general BEM approach. The general BEM can overcome the limitations and restrictions of the traditional BEM. It is valid even for strongly nonlinear problems whose governing equations don't contain any linear terms. Moreover, by the proposed general BEM, one can solve a nonlinear problem even by means of no iterations! This shakes the governing place of the iterative methodology of the BEM for nonlinear problems. Besides, the proposed general BEM contains the traditional BEM in logic. The general BEM approach greatly increases the application area of the BEM as a numerical tool.
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