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Book Cover
Author Ammari, Habib.

Title Polarization and moment tensors : with applications to inverse problems and effective medium theory / Habib Ammari, Hyeonbae Kang
Published New York : Springer, [2007]
Online access available from:
Springer eBooks    View Resource Record  


Description 1 online resource (x, 312 pages) : illustrations
Series Applied mathematical sciences ; 162
Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 162
Contents Introduction -- Layer Potentials and Transmission Problems -- Uniqueness for Inverse Conductivity Problems -- Generalized Isotropic and Anisotropic Polarization Tensors -- Full Asymptotic Formula for the Potentials -- Near-Boundary Conductivity Inclusions -- Impedance Imaging of Conductivity Inclusions -- Effective Properties of Electrical Composites -- Transmission Problem for Elastostatics -- Elastic Moment Tensor -- Full Asymptotic Expansion of the Displacement Field -- Imaging of Elastic Inclusions -- Effective Properties of Elastic Composites -- Appendices -- References -- Index
Summary "This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. The methods involved come from various areas of pure and applied mathematics, such as potential theory, PDEs, complex analysis, and numerical methods. The unifying thread in this book is the use of generalized polarization and moment tensors." "With its extensive list of references and open problems, the book should enhance accessibility to specialized literature and stimulate progress in the fields of impedance imaging and composite materials. Graduate students and researchers in applied mathematics will benefit from this book. Researchers in engineering and physics might also find this book helpful."--Jacket
Bibliography Includes bibliographical references (pages 295-310) and index
Notes Print version record
In Springer e-books
Subject Electric conductivity -- Mathematics.
Polarization (Electricity) -- Mathematics.
Tensor algebra.
Inverse problems (Differential equations)
Electric Conductivity.
Form Electronic book
Author Kang, Hyeonbae.
LC no. 2007925444
ISBN 0387715657