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Zusatztext ... deals with interesting questions of strongly heterogeneous media, such as the analysis of capacities and transport properties. ... The book is intended to be self-contained and it is of interest to researchers in the fields of "homogenization theory" and "asymptotic analysis" in the areas of applied mathematics, physics and engineering sciences. More specifically, it may be of interest to students and researchers in mathematical models related to diffusion, electricity, magnetism, mechanics, new materials and design methods. It is written in terms of electrostatics, and it pays special attention to the so-called (by the authors) "Tamm screening effect" or "Tamm shielding effect" and the problems of the "effective tunability" and "effective loss" of composite materials. These effects/terms (and some others) arising in physics and engineering are in the reviewer’s opinion rarely considered in the literature of applied mathematics, and the authors provide a mathematical interpretation in this book .... Many figures in the book are important for the understanding of the corresponding problems and the results obtained. —Eugenia Pérez, in Mathematical Reviews , 2012a Informationen zum Autor A.A. Kolpakov works in the Department of Mathematics and Mechanics at Novosibirsk State University, Russia and Université de Fribourg, Fribourg Pérolles, Switzerland. A.G. Kolpakov works as Marie Curie Fellow at Università degli Studi di Cassino, Italy and Siberian State University of Telecommunications and Informatics, Russia. Zusammenfassung A mathematical discussion of phenomena related to natural sciences and engineering, this book presents fresh and modified asymptotic methods for real-world applications in composite materials development. It covers historical developments and progress in mathematical calculations, computer techniques, and finite element computer programs. Inhaltsverzeichnis IDEAS AND METHODS OF ASYMPTOTIC ANALYSIS AS APPLIED TO TRANSPORT IN COMPOSITE STRUCTURES. NUMERICAL ANALYSIS OF LOCAL FIELDS IN A SYSTEM OF CLOSELY PLACED BODIES. ASYMPTOTIC BEHAVIOR OF CAPACITY OF A SYSTEM OF CLOSELY PLACED BODIES. TAMM SHIELDING. NETWORK APPROXIMATION. NETWORK APPROXIMATION FOR POTENTIALS OF CLOSELY PLACED BODIES. ANALYSIS OF TRANSPORT PROPERTIES OF HIGHLY FILLED CONTRAST COMPOSITES USING THE NETWORK APPROXIMATION METHOD. EFFECTIVE TUNABILITY OF HIGH-CONTRAST COMPOSITES. EFFECTIVE LOSS OF HIGH-CONTRAST COMPOSITES. TRANSPORT AND ELASTIC PROPERTIES OF THIN LAYERS. ...
