Polarization and Moment Tensors With Applications to Inverse Problems and Effective Medium Theory /

• Main Authors: Ammari, Habib (Author), Kang, Hyeonbae (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2007.
• Series: Applied Mathematical Sciences, 162
• Subjects: Mathematics.; Radiology.; Partial differential equations.; Potential theory (Mathematics).; Applied mathematics.; Engineering mathematics.; Biomedical engineering.; Applications of Mathematics.; Biomedical Engineering.; Potential Theory.; Partial Differential Equations.; Imaging / Radiology.

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...

Table of Contents:

• 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.