Title Introduction to the network approximation method for materials modeling / Leonid Berlyand, Pennsylvania State University, Alexander G. Kolpakov, Universita degli Studi di Cassino e del Lazio, A. Novikov, Pennsylvania State University

Published Cambridge : Cambridge University Press, 2013

Click on the following:
ProQuest Ebook Central

Copies

Description 1 online resource Series Encyclopedia of mathematics and its applications Encyclopedia of mathematics and its applications. Contents 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 Summary "In recent years the traditional subject of continuum mechanics has grown rapidly and many new techniques have emerged. This text provides a rigorous, yet accessible introduction to the basic concepts of the network approximation method and provides a unified approach for solving a wide variety of applied problems. As a unifying theme, the authors discuss in detail the transport problem in a system of bodies. They solve the problem of closely placed bodies using the new method of the network approximation for partial differential equations with discontinuous coefficients, developed in the 2000s by applied mathematicians in the USA and Russia. Intended for graduate students in applied mathematics and related fields such as physics, chemistry and engineering, the book is also a useful overview of the topic for researchers in these areas. In recent years the traditional subject of continuum mechanics has grown rapidly and many new techniques have emerged. This text provides a rigorous, yet accessible introduction to the basic concepts of the network approximation method and provides a unified approach for solving a wide variety of applied problems. As a unifying theme, the authors discuss in detail the transport problem in a system of bodies. They solve the problem of closely placed bodies using the new method of the network approximation for partial differential equations with discontinuous coefficients, developed in the 2000s by applied mathematicians in the USA and Russia. Intended for graduate students in applied mathematics and related fields such as physics, chemistry and engineering, the book is also a useful overview of the topic for researchers in these areas"-- Provided by publisher Bibliography Includes bibliographical references and index Notes Print version record Subject Composite materials -- Mathematical models Graph theory. Differential equations, Partial. Duality theory (Mathematics) MATHEMATICS -- General. TECHNOLOGY & ENGINEERING -- Material Science. Ecuaciones difrenciales Dualidad, Teoría de (Matemáticas) Composite materials -- Mathematical models Differential equations, Partial Duality theory (Mathematics) Graph theory Form Electronic book Author Kolpakov, A. G. Novikov, A. (Alexei) ISBN 9781139840422 1139840428 1139845160 9781139845168 9781139235952 1139235958 9781139842808 1139842803

  Permalink