Author(s)

G. Steven Gipson

Abstract

As implied by its very name, the boundary integral equation method represents a device by which the domain surfaces of a physical problem play the most important role in the accurate portrayal of an underlying physical process. Because the more troublesome areas to analyze in most engineering problems tend to be at locations of material discontinuities and abruptly changing geometries, accurate computations and reliable error checks in those regions are of extreme importance in boundary element analysis. This paper explores issues in BEM related to accurately and efficiently calculating physical quantities near interfaces and extrapolating their values through said interfaces. Particularly, the relationships between similar physical quantities a

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