Polarization and Moment Tensors

With Applications to Inverse Problems and Effective Medium Theory

Habib Ammari, Hyeonbae Kang (Autoren)

Buch | Softcover

314 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2007
Springer-Verlag New York Inc.
978-1-4419-2449-0 (ISBN)

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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.

Erscheint lt. Verlag	24.11.2010
Reihe/Serie	Applied Mathematical Sciences ; 162
Zusatzinfo	X, 314 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 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
	Technik ► Medizintechnik
ISBN-10	1-4419-2449-3 / 1441924493
ISBN-13	978-1-4419-2449-0 / 9781441924490
Zustand	Neuware