Polarization and Moment Tensors
With Applications to Inverse Problems and Effective Medium Theory
Seiten
2007
|
2007 ed.
Springer-Verlag New York Inc.
978-0-387-71565-0 (ISBN)
Springer-Verlag New York Inc.
978-0-387-71565-0 (ISBN)
Presents important developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. This title includes an introductory chapter that covers the necessary basics. It features bibliography and open problems at the end of each chapter that enhance the text.
This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. The exposition brings simplicity to the advanced material by augmenting the theory with interesting practical examples and numerical illustrations. An introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter enhance the text. Graduate students and researchers in mathematics will benefit from this book. Researchers in engineering and physics might also find it helpful.
This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. The exposition brings simplicity to the advanced material by augmenting the theory with interesting practical examples and numerical illustrations. An introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter enhance the text. Graduate students and researchers in mathematics will benefit from this book. Researchers in engineering and physics might also find it helpful.
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.
| Reihe/Serie | Applied Mathematical Sciences ; 162 |
|---|---|
| Zusatzinfo | X, 314 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 156 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Medizinische Fachgebiete ► Radiologie / Bildgebende Verfahren ► Radiologie | |
| Medizin / Pharmazie ► Physiotherapie / Ergotherapie ► Orthopädie | |
| Naturwissenschaften ► Physik / Astronomie | |
| Technik ► Medizintechnik | |
| ISBN-10 | 0-387-71565-7 / 0387715657 |
| ISBN-13 | 978-0-387-71565-0 / 9780387715650 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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