Polarization and moment tensors : with applications to inverse problems and effective medium theory

Bibliographic Information

Polarization and moment tensors : with applications to inverse problems and effective medium theory

Habib Ammari, Hyeonbae Kang

(Applied mathematical sciences, v. 162)

Springer, c2007

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Note

Includes bibliographical references and index

"With 25 figures"

Description and Table of Contents

Description

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.

Table of 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.

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Details
  • NCID
    BA82874541
  • ISBN
    • 9780387715650
  • LCCN
    2007925444
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    x, 312 p.
  • Size
    24 cm
  • Parent Bibliography ID
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