Fast Multipole Boundary Element Method for 2-D Helmholtz Equation Problems and Its Error Analysis ?
نویسندگان
چکیده
In this paper, a kind of Fast Multipole Boundary Element Method (FM-BEM) based on series form expansion is presented to solve two-dimensional (2-D) Helmholtz equation problems. A theorem of multipole expansion is derived and proved for the fundamental solution, which demonstrates the error source and can be widely used in 2-D electromagnetics and acoustics problems. The truncation error is analyzed and proved to be controlled by a truncation number p. A refined approximate expression of p is finally derived for practical engineering computation.
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تاریخ انتشار 2012