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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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
New York :
Springer
c2007.
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| Edición: | 1st ed. 2007. |
| Colección: | Applied mathematical sciences (Springer-Verlag New York Inc.) ;
v. 162. |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461337206719 |
| Sumario: | 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. |
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| Notas: | Description based upon print version of record. |
| Descripción Física: | 1 online resource (323 p.) |
| Bibliografía: | Includes bibliography (p. [295]-310) and index. |
| ISBN: | 9781280943638 9786610943630 9780387715667 |
