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Analysis of the factorization method for a general class of boundary conditions
-
Mathieu Chamaillard
,
Nicolas Chaulet
Published/Copyright:
December 4, 2013
Abstract
We analyze the factorization method (introduced by Kirsch in 1998 to solve inverse scattering problems at fixed frequency from the far field operator) for a general class of boundary conditions that generalizes impedance boundary conditions. For instance, when the surface impedance operator is of pseudo-differential type, our main result stipulates that the factorization method works if the order of this operator is different from one and the operator is Fredholm of index zero with non-negative imaginary part. We also provide some validating numerical examples for boundary operators of second order with discussion on the choice of the test function.
Keywords: Scattering theory; factorization method; inverse problems; generalized impedance boundary condition
Received: 2013-1-29
Published Online: 2013-12-4
Published in Print: 2014-10-1
© 2014 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Acoustic impedance inversion with covariation approach
- An inverse problem for differential pencils on graphs with a cycle
- Analysis of the factorization method for a general class of boundary conditions
- Determination of the Calcium channel distribution in the olfactory system
- Locally extra-optimal regularizing algorithms
- The minimal radius of Galerkin information for severely ill-posed problems
Keywords for this article
Scattering theory;
factorization method;
inverse problems;
generalized impedance boundary condition
Articles in the same Issue
- Frontmatter
- Acoustic impedance inversion with covariation approach
- An inverse problem for differential pencils on graphs with a cycle
- Analysis of the factorization method for a general class of boundary conditions
- Determination of the Calcium channel distribution in the olfactory system
- Locally extra-optimal regularizing algorithms
- The minimal radius of Galerkin information for severely ill-posed problems
