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 ; 162

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." "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."--BOOK JACKET.

Bibliographic references

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

Contents

• 1. Introduction
• 2. Layer potentials and transmission problems
• 3. Uniqueness for inverse conductivity problems
• 4. Generalized isotropic and anisotropic polarization tensors
• 5. Full asymptotic formula for the potentials
• 6. Near-boundary conductivity inclusions
• 7. Impedance imaging of conductivity inclusions
• 8. Effective properties of electrical composites
• 9. Transmission problem for elastostatics
• 10. Elastic moment tensor
• 11. Full asymptotic expansions of the displacement field
• 12. Imaging of elastic inclusions
• 13. Effective properties of elastic composites.

Show 10 more Contents items

ISBN

• 9780387715650
• 0387715657

LCCN

2007925444

OCLC

163571663

RCP

C - S

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