Reconstruction of Small Inhomogeneities from Boundary Measurements

Reconstruction of Small Inhomogeneities from Boundary Measurements

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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 LamAc 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.A. Gryazin, M.V. Klibanov, and T.R. Lucas, Two numerical methods for an inverse problem for the 2-D Helmholtz equation, ... S. He and V.G. Romanov, Identification of small flaws in conductors using magnetostatic measurements, Math.

Title:Reconstruction of Small Inhomogeneities from Boundary Measurements
Author: Habib Ammari, Hyeonbae Kang
Publisher:Springer - 2004-08-30

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