Introduction to the network approximation method for materials modeling [electronic resource] / Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov.
Series: Encyclopedia of mathematics and its applications ; v. 148.Publisher: Cambridge, UK; New York : Cambridge University Press, 2013Description: 1 online resource (1 v.) : illSubject(s): Genre/Form: Additional physical formats: Print version:: Introduction to the network approximation method for materials modelingOnline resources:
eBooks
Description based on print version record.
Includes bibliographical references and index.
Review of mathematical notions used in the analysis of transport problems in dense-packed composite materials -- Background and motivation for introduction of network models -- Network approximation for boundary-value problems with discontinuous coefficients and a finite number of inclusions -- Numerics for percolation and polydispersity via network models -- The network approximation theorem for an infinite number of bodies -- Network method for nonlinear composites -- Network approximation for potentials of bodies -- Application of the method of complex variables.