A simple method for solving inverse scattering problems in the resonance region

Inverse Problems

Volumn 12, Issue 4, 1996, Pages 383-393

  Colton, David ^a   Kirsch, Andreas ^b  

^a UNIVERSITY OF DELAWARE   (United States)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000978411     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/12/4/003     Document Type: Article

References (9)

1. Colton D and Kress R 1992 Inverse Acoustic and Electromagnetic Seattering Theory (Berlin: Springer)
2. Colton D and Kress R 1995 Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium SIAM J. Appl. Math. 55 1724-35
3. Colton D and Monk P 1992 The numerical solution of an inverse scattering problem for acoustic waves IMA J. Appl. Math. 49 163-84
4. Groetsch C W 1984 The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind (Boston, MA; Pitman)
5. Isakov V 1990 On uniqueness in the inverse transmission problem Commun. Part Diff. Eq. 15 1565-87
6. Kirsch A and Kress R 1993 Uniqueness in inverse obstacle scattering Inverse Problems 9 285-99
7. Kirsch A and Monk P An analysis of the coupling of finite-element and Nyström methods in acoustic scattering IMA J. Numer. Anal. 14 523-44
8. 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
9. Vekua I N 1968 New Method for Solving Elliptic Equations (Amsterdam: North-Holland)