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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Detalles Bibliográficos
Autor principal: Ammari, Habib (-)
Otros Autores: Kang, Hyeonbae
Formato: Libro electrónico
Idioma:Inglés
Publicado: New York : Springer c2007.
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
Tabla de Contenidos:
  • 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.