The linear sampling method for cracks

Inverse Problems

Volumn 19, Issue 2, 2003, Pages 279-295

  Cakoni, Fioralba ^a   Colton, David ^a  

^a UNIVERSITY OF DELAWARE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; ELECTROMAGNETIC FIELDS; ELECTROMAGNETIC WAVE PROPAGATION; PROBLEM SOLVING; SAMPLING;

LINEAR SAMPLING METHODS;

INVERSE PROBLEMS;

EID: 0037390723     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/19/2/303     Document Type: Article

References (19)

1. Abboud T and Starling F 1993 Scattering of an electromagnetic wave by a screen Boundary Value Problems and Integral Equations in Nonsmooth Domains (Lecture Notes in Pure and Applied Mathematics vol 167) ed M Costabel, M Dauge and S Nicaise (New York: Dekker) pp 1-17
2. Cakoni F, Colton D and Monk P 2001 The direct and inverse scattering problems for partially coated obstacles Inverse Problems 17 1997-2015
3. Cakoni F and Colton D 2003 Combined far field operators in electromagnetic inverse scattering theory Math. Methods Appl. Sci. at press
4. Cessenat M 1996 Mathematical Methods in Electromagnetism (Singapore: World Scientific)
5. Colton D, Coyle J and Monk P 2000 Recent developments in inverse acoustic scattering theory SIAM Rev. 42 369-414
6. Colton D, Piana M and Potthast R 1997 A simple method using Morozov's discrepancy principle for solving inverse scattering problems Inverse Problems 13 1477-93
7. Colton D and Kirsch A 1996 A simple method for solving inverse scattering problems in the resonance region Inverse Problems 12 383-93
8. Colton D and Kress R 1998 Inverse Acoustic and Electromagnetic Scattering Theory 2nd edn (Berlin: Springer)
9. Colton D and Kress R 2001 On the denseness of Herglotz wavefunctions and electromagnetic Herglotz pairs in Sobolev spaces Math. Methods. Appl. Sci. 24 1289-303
10. Colton D and Sleeman B 2001 An approximation property of importance in inverse scattering theory Proc. Edinburgh Math. Soc. 44 449-54
11. Costabel M and Dauge M 2002 Crack singularities for general elliptic system Math. Nachr. 235 29-49
12. Kirsch A and Ritter S 2000 A linear sampling method for inverse scattering from an open arc Inverse Problems 1689-105
13. Kozlov V A, Mazya V G and Rossmann J 1997 Elliptic Boundary Value Problems in Domains with Point Singularities (Providence, RI: American Mathematical Society)
14. Kress R 1995 Inverse scattering from an open arc Math. Methods Appl. Sci. 18 267-93
15. Lions J and Magenes E 1972 Non-homogeneous Boundary Value Problems and Applications (New York: Springer)
16. McLean W 2000 Strongly Elliptic Systems and Boundary Integral Equations (Cambridge: Cambridge University Press)
17. Mönch L 1997 On the inverse acoustic scattering problem by an open arc: the sound-hard case Inverse Problems 13 1379-92
18. Stephan E P and Wendland W 1984 An augmented Galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems Appl. Anal. 18 183-219
19. 3 Integral Equations Operator Theory 10 236-57