Fundamental Solutions For Heterogeneous
Media Potential Problems By Conformal
Mapping
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)
Keywords
Related Book
Other papers in this volume
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