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The Factorization Method for Inverse Problems
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The Factorization Method for Inverse Problems

Andreas Kirsch and Natalia Grinberg

Abstract

This book is devoted to problems of shape identification in the context of (inverse) scattering problems and problems of impedance tomography. In contrast to traditional methods which are based on iterative schemes of solving sequences of corresponding direct problems, this book presents a completely different method. The Factorization Method avoids the need to solve the (time consuming) direct problems. Furthermore, no a-priori information about the type of scatterer (penetrable or impenetrable), type of boundary condition, or number of components is needed. The Factorization Method can be co ... More

Keywords: inverse scattering problem, shape identification, Factorization Method, boundary condition, Sampling Method

Bibliographic Information

Print publication date: 2007 Print ISBN-13: 9780199213535
Published to Oxford Scholarship Online: September 2008 DOI:10.1093/acprof:oso/9780199213535.001.0001

Authors

Affiliations are at time of print publication.

Andreas Kirsch, author
University of Karlsruhe

Natalia Grinberg, author
University of Karlsruhe

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