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

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 me...

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Detalhes bibliográficos
Principais autores: Ammari, Habib, 1969-, Kang, Hyeonbae (Autor)
Formato: Livre numérique
Idioma:Anglais
Publicado em: New York, NY : Springer New York [20..].
Cham : Springer Nature
coleção:Applied Mathematical Sciences 162
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Nota: L'impression du document génère 317 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Polarization and moment tensors, with applications to inverse problems and effective medium theory, Habib Ammari, Hyeonbae Kang, New York, Springer, 2007, 1 vol. (X-312 p.), Applied mathematical sciences, 978-0-387-71565-0
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100 1 |a Ammari, Habib,  |d 1969- 
245 1 0 |a Polarization and Moment Tensors :  |b with Applications to Inverse Problems and Effective Medium Theory   |c Habib Ammari, Hyeonbae Kang. 
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490 1 |a Applied Mathematical Sciences  |v 162 
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504 |a Bibliogr. Index 
505 1 |a 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 
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520 |a 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 
650 |a Problèmes inverses (équations différentielles) 
650 |a Conduction électrique  |x Mathématiques 
650 |a Polarisation (électricité)  |x Mathématiques 
650 |a Algèbre tensorielle 
700 1 |a Kang, Hyeonbae.  |4 aut 
700 1 |a Kang, Hyeonbae.  |4 aut 
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