Details

Subject(s)

• Electric conductivity—Mathematics [Browse]
• Polarization (Electricity)—Mathematics [Browse]
• Tensor algebra [Browse]
• Inverse problems (Differential equations) [Browse]

Related name

• Kang, Hyeonbae [Browse]

Series

• Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 162. [More in this series]
• Applied mathematical sciences ; v. 162

Subseries of

Applied mathematical sciences

Summary note

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. The main approach is based on modern layer potential techniques. 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. 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.

Notes

Description based upon print version of record.

Bibliographic references

Includes bibliography (p. [295]-310) and index.

Language note

English

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.

Show 9 more Contents items

ISBN

• 1-280-94363-7
• 9786610943630
• 0-387-71566-5

OCLC

187082463

Doi

• 10.1007/978-0-387-71566-7

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