WIT Press


Fundamental Solutions For Heterogeneous Media Potential Problems By Conformal Mapping

Price

Free (open access)

Paper DOI

10.2495/BE990611

Volume

25

Pages

6

Published

1999

Size

450 kb

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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