A simple method using Morozov's discrepancy principle for solving inverse scattering problems

Inverse Problems

Volumn 13, Issue 6, 1997, Pages 1477-1493

  Colton, David ^a   Piana, Michele ^a   Potthast, Roland ^b  

^a UNIVERSITY OF DELAWARE   (United States)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3343011404     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/13/6/005     Document Type: Article

References (8)

1. Colton D and Kirsch A 1996 A simple method for solving inverse scattering problems in the resonance region Inverse Problems 13 383-93
2. Colton D and Kress R 1992 Inverse Acoustic and Electromagnetic Scattering Theory (Berlin: Springer)
3. Colton D and Monk P 1997 A linear sampling method for the detection of leukemia using microwaves SIAM J. Appl. Math. to appear
4. Hadamard J 1923 Lectures on Cauchy's Problems in Linear Partial Differential Equations (New Haven, CT: Yale University Press)
5. Kirsch A 1996 An Introduction to the Mathematical Theory of Inverse Problems (New York: Springer)
6. Kirsch A and Monk P 1990 Convergence analysis of a coupled finite element and spectral method in acoustic scattering IMA J. Numer. Anal 9 425-47
7. Rynne B P and Sleeman B D 1991 The interior transmission problem and inverse scattering from inhomogeneous media SIAM J. Math. Anal. 22 1755-62
8. Tikhonov A N, Goncharsky A V, Stepanov V V and Yagola A G 1995 Numerical Methods for the Solution of Ill-posed Problems (Dordrecht: Kluwer)