View Seminar Paper: Boundary Elements and a Green's Function Library
Citation:
Rizzo, F.J., Martin, P.A. and Roberts, R.A. (1994). Boundary Elements and a Green's Function Library. Boulder, Colorado:National Institute of Standards and Technology, Technology Administration, U.S. Department of Commerce..
The boundary element method (BEM) is now an established procedure for obtaining numerical solutions for a variety of problems in engineering and applied mathematics. The formulation
of the BEM relies heavily on the existence of suitable Green's functions. Indeed, Green's functions are the BEM's main analytical ingredient. 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.
Publisher
National Institute of Standards and Technology, Technology Administration, U.S. Department of Commerce.
Date
1994-08-14
Copyright Notice
http://www.nist.gov/public_affairs/disclaim.htm
Seminar Series
NIST workshop on Green’s functions and boundary element analysis
Institution
National Institute of Standards and Technology
Location
Boulder, Colorado
Copyright Agreement
on
Additional Notes
Proceedings of the NIST workshop on Green’s functions and boundary element analysis published as NIST Special Publication SP 910 (1996)
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