Network Approximation for Transport Properties of High Contrast Materials

@article{Papanicolaou1998NetworkAF,
  title={Network Approximation for Transport Properties of High Contrast Materials},
  author={George Papanicolaou and Liliana Borcea},
  journal={SIAM Journal of Applied Mathematics},
  year={1998},
  volume={58},
  pages={501-539}
}
We show that the e ective complex impedance of materials with conductivity and dielectric permittivity that have high contrast can be calculated approximately by solving a suitable resistor-capacitor network. We use extensively variational principles for the analysis and we assess the accuracy of the network approximation by numerical computations.