Boundary Elements and a Green's Function Library
نویسنده
چکیده
With the conventional BEM, a significant analytical step is taken at the outset, and this involves only the simplest Green's functions. The result is a representation integral for desired fields in terms of boundary values of the fields. This result is obtained before elements and approximations of any kind are introduced. Unfortunately, when only the simplest Green's functions are used, about half of the boundary values of the fields are unknown in the representation integral at this stage. Elements and approximations are needed afterwards, in essence, to numerically solve a boundary integral equation. This is done to obtain the mentioned unknown boundary data. Then, with all boundary data known, the representation integral provides the desired field solution throughout the region of interest. The process, in effect, reduces a three-dimensional problem to a two-dimensional one. This is one of the great features of the BEM.
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