The Factorization Method for Inverse Problems

Hardcover | December 13, 2007

byAndreas Kirsch, Natalia Grinberg

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The factorization method is a relatively new method for solving certain types of inverse scattering problems and problems in tomography. Aimed at students and researchers in Applied Mathematics, Physics and Engineering, this text introduces the reader to this promising approach for solvingimportant classes of inverse problems. The wide applicability of this method is discussed by choosing typical examples, such as inverse scattering problems for the scalar Helmholtz equation, a scattering problem for Maxwell's equation, and a problem in impedance and optical tomography. The lastsection of the book compares the Factorization Method to established sampling methods (the Linear Sampling Method, the Singular Source Method, and the Probe Method).

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The factorization method is a relatively new method for solving certain types of inverse scattering problems and problems in tomography. Aimed at students and researchers in Applied Mathematics, Physics and Engineering, this text introduces the reader to this promising approach for solvingimportant classes of inverse problems. The wi...

Andreas Kirsch is a Professor in the Department of Mathematics at the University of Karlsruhe. Natalia Grinberg is in the Department of Mathematics at the University of Karlsruhe.

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Format:HardcoverDimensions:240 pages, 9.21 × 6.14 × 0.83 inPublished:December 13, 2007Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199213534

ISBN - 13:9780199213535

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Table of Contents

Preface1. The Simplest Cases: Dirichlet and Neumann Boundary Conditions2. The Factorization Method for Other Types of Inverse Obstacle Scattering Problems3. The Mixed Boundary Value Problem4. The MUSIC Algorithm and Scattering by an Inhomogenous Medium5. The Factorization method for Maxwell's Equations6. The Factorization Method in Impedance Tomography7. Alternative Sampling and Probe MethodsBibliography