@inbook{ac41f1d442284c83ac7fbf271599378d,

title = "Discrete network approximation for highly-packed composites with irregular geometry in three dimensions",

abstract = "We introduce a discrete network approximation to the problem of the effective conductivity of a high contrast, densely packed composite in three dimensions. The inclusions are irregularly (randomly) distributed in a host medium. For this class of arrays of inclusions we derive a discrete network approximation for effective conductivity and obtain a priori error estimates. We use a variational duality approach to provide rigorous mathematical justification for the approximation and its error estimate.",

author = "Leonid Berlyand and Yuliya Gorb and Alexei Novikov",

year = "2005",

doi = "10.1007/3-540-26444-2_2",

language = "English (US)",

isbn = "9783540253358",

series = "Lecture Notes in Computational Science and Engineering",

publisher = "Springer Verlag",

pages = "21--57",

booktitle = "Multiscale Methods in Science and Engineering",

address = "Germany",

}