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A boundary integral equation method for a Neumann boundary problem for force-free fields

✍ Scribed by R. Kress

Publisher
Springer
Year
1981
Tongue
English
Weight
621 KB
Volume
15
Category
Article
ISSN
0022-0833

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✦ Synopsis

A Neumann boundary value problem for the equation rot v -hv = 0 is considered in/R 3 and/R 2. The approach is by transforming the boundary value problem into an equivalent boundary integral equation deduced from a representation formula for solutions of rot v -hv = 0 based on the fundamental solution of the Helmholtz equation. In particular, for the two-dimensional case a detailed discussion of the integral equation is carried out including the approximate solution by numerical integration. * By (a,b), [a,b] and (a,b,c) we denote the scalar product, vector product and triple product of the vectors a,b,c, respectively

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