Communications in Mathematical Sciences

Volume 7 (2009)

Number 3

A discrete network approximation for effective conductivity of non-Ohmic high-contrast composites

Pages: 719 – 740



Alexei Novikov


We develop a discrete network approximation to effective conductivity of high contrast, highly packed particulate composites with nonlinear constituent relations. The key tool is the perforated medium approach, which provides a simple mathematical justification of the discrete network approximation by variational techniques.


Effective conductivity, discrete network, variational bounds

2010 Mathematics Subject Classification

74Q05, 94C05

Published 1 January 2009