Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory
Author:   Habib Ammari ,  Hyeonbae Kang
Publisher:   Springer-Verlag New York Inc.
Edition:   2007 ed.
Volume:   162
ISBN:  

9780387715650


Pages:   314
Publication Date:   18 July 2007
Format:   Hardback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory


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Overview

This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. By augmenting the theory with interesting practical examples and numerical illustrations, the exposition brings simplicity to the advanced material. An introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter enhance the text.

Full Product Details

Author:   Habib Ammari ,  Hyeonbae Kang
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2007 ed.
Volume:   162
Dimensions:   Width: 15.60cm , Height: 1.90cm , Length: 23.50cm
Weight:   1.400kg
ISBN:  

9780387715650


ISBN 10:   0387715657
Pages:   314
Publication Date:   18 July 2007
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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 Expansions of the Displacement Field.- Imaging of Elastic Inclusions.- Effective Properties of Elastic Composites.

Reviews

From the reviews: The main purpose of the book is to assess the influence of small-volume buried inclusions on measurements performed at the boundary of a domain of interest. ! This self-contained book will serve as an excellent reference for any mathematician interested in the reconstruction of constitutive parameters in a differential equation from boundary measurements. (Guillaume Bal, Mathematical Reviews, Issue 2009 f)


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