Reconstruction of small inhomogeneities from boundary measurements
Author(s)
Bibliographic Information
Reconstruction of small inhomogeneities from boundary measurements
（Lecture notes in mathematics, 1846）
Springer, c2004
Available at / 65 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||184604027303
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INTERNATIONAL CHRISTIAN UNIVERSITY LIBRARY図
V.1846410.8/L507/v.184606131198,
410.8/L507/v.184606131198 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:510/AM612080006018
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Note
Includes bibliographical references (p. [223]-236) and index
Description and Table of Contents
Description
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 Lame system, as well as the Helmholtz equation are discussed in a readable and informative manner. The general approach developed in this book is based on layer potential techniques and modern asymptotic analysis of partial differential equations. The book is particularly suitable for graduate students in mathematics.
Table of Contents
- 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.
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