Discrete Network Approximation for Highly-packed Composites with Irregular Geometry in Three Dimensions
نویسندگان
چکیده
We introduce a discrete network approximation to the problem of the effective conductivity of the high contrast, highly packed composites in three dimensions. The inclusions are irregularly (randomly) distributed in a hosting medium, so that a significant fraction of them may not participate in the conducting spanning cluster. For this class of spacial arrays of inclusions we derive a discrete network approximation and obtain its a priori error estimate. We obtained an explicit dependence of the network approximation and its error on the irregular geometry of the inclusions’ array. We use variational techniques to provide rigorous mathematical justification for the approximation and its error estimate.
منابع مشابه
DISCRETE NETWORK APPROXIMATION for HIGHLY-PACKED HIGH CONTRAST COMPOSITES with IRREGULAR GEOMETRY in 3D YULIYA GORB
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