Reconstruction of Small Inhomogeneities from Boundary Measurements

This is the first book to provide a systematic exposition of promising techniques for the reconstruction of small inhomogeneities from boundary measurements. In particular, theoretical results and numerical procedures for the inverse problems for the conductivity equation, the Lamé system, as well a...

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Detalles Bibliográficos
Autores principales: Ammari, Habib, 1969-, Kang, Hyeonbae (Autor)
Formato: Livre numérique
Lenguaje:Anglais
Publicado: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Colección:Lecture notes in mathematics 1846
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Accès Université d'Orléans
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Reconstruction of small inhomogeneities from boundary measurements, Habib Ammari, Hyeonbae Kang, 2004, Berlin, Springer, 1 vol. (IX-238 p.), Lecture notes in mathematics, 3-540-22483-1
• Reconstruction of Small Inhomogeneities from Boundary Measurements, Texte imprimé, 9783662170915
Tabla de Contenidos:
  • Introduction
  • Part I: Detection of Small Conductivity Inclusions; Transmission Problem; Generalized Polarization Tensors; Derivation of the Full Asymptotic Formula; Detection of Inclusions
  • Part II: Detection of Small Elastic Inclusions; Transmission Problem for Elastostatics; Elastic Moment Tensor; Derivation of Small Asymptotic Expansions; Detections of Inclusions
  • Part III: Detection of Small Electromagnetic Inclusions; Well-Posedness; Representation of Solutions; Derivation of Asymptotic Formulae; Reconstruction Algorithms
  • Appendices
  • References
  • Index.