Fundamental Solutions For Heterogeneous Media Potential Problems By Conformal Mapping
Price
Free (open access)
Transaction
Volume
25
Pages
6
Published
1999
Size
450 kb
Paper DOI
10.2495/BE990611
Copyright
WIT Press
Author(s)
R.P Shaw & G.D. Manolis
Abstract
Fundamental solutions or free-space Green's functions are found for a class of potential problems in heterogeneous media by means of a conformal mapping transformation which reduces the problem to a known form. These solutions are useful for the boundary integral/element method (BEM). Introduction Potential problems are, in general, governed by a conservation equation, e.g. conservation of heat V-q(r) + Q(r) = 0 [la] where q(r) is the heat flux, Q(r) is the internal heat source within an elemental volume, and a flux-temperature relationship, e.g. q(f)= - Kj(f)VT(r) [Ib] which combine to give a heterogeneous medium potential equation, V • { K;(?) VT(r) } = - Q(r)
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