The linear sampling method for non-absorbing penetrable elastic bodies

Inverse Problems

Volumn 19, Issue 3, 2003, Pages 549-561

  Charalambopoulos, Antonios ^a   Gintides, Drossos ^b   Kiriaki, Kiriakie ^c  

^a UNIVERSITY OF IOANNINA   (Greece)

^b HELLENIC NAVAL ACADEMY   (Greece)

^c NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; ACOUSTIC WAVE TRANSMISSION; ALGORITHMS; BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; ELASTICITY; GREEN'S FUNCTION; IMAGE RECONSTRUCTION; INVERSE PROBLEMS; SAMPLING;

BOUNDEDNESS;

ACOUSTIC WAVE SCATTERING;

EID: 0038339468     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/19/3/305     Document Type: Article

References (22)

1. Alves C J S and Kress R 2002 On the far field operator in elastic obstacle scattering IMA J. Appl. Math. 67 1-21
2. Angell T S, Kleinmann R E and Roach G F 1989 An inverse transmission problem for the Helmholtz equation Inverse Problems 3 149-80
3. Arens T 2001 Linear sampling methods for 2D inverse elastic wave scattering Inverse Problems 17 1445-64
4. Cakoni F, Colton D and Haddar H 2002 The linear sampling method for anisotropic media J. Comput. Appl. Math. 146 285-99
5. Cakoni F and Haddar H 2001 The linear sampling method for anisotropic media: part II Preprints 2001/26, MSRI Berkeley, CA
6. Charalambopoulos A 2003 On the interior transmission problem of the 3-dimensional non-homogeneous, non-dissipative anisotropic elasticity J. Elast, at press
7. Charalambopoulos A, Gintides D and Kiriaki K 2002 The linear sampling method for the transmission problem in three-dimensional linear elasticity Inverse Problems 18 1-12
8. Colton D and Kress R 1992 Inverse Acoustic and Electromagnetic Scattering Theory (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 Kirsch A 1996 A simple method for solving the inverse scattering problems in the resonance region Inverse Problems 12 383-93
11. Colton D and Monk P 1988 Time harmonic electromagnetic waves in inhomogeneous medium Proc. R. Soc. Edinburgh A 116 279-93
12. Colton D, Piana M and Potthast R 1999 A simple method using Morozov's discrepancy principle for solving scattering problems Inverse Problems 13 1477-93
13. Colton D, Coyle J and Monk P 2000 Recent developments in inverse acoustic scattering theory SIAM Rev. 42 369-414
14. Gintides D and Kiriaki K 2001 The far-field equations in linear elasticity - an inversion scheme Z. Angew. Math. Mech. 81 305-16
15. Gintides D and Kiriaki K 2000 On the far-field operator for mixed scattering problems in linear elasticity Scattering Theory and Biomedical Engineering Modelling and Applications (Singapore: World Scientific) pp 61-7
16. Kirsch A and Kress R 1986 On an integral equation of the first kind in inverse acoustic scattering Inverse Problems vol 77, ed J C Cannon and U Homung (Berlin: Springer) pp 93-102
17. Kupradze V D, Gegelia T G, Basheleishvili M O and Burchuladze T V 1979 Three-Dimensional Problems of the Mathematical Theory of Elasticity and Themoelasticity (Amsterdam: North-Holland)
18. Leis R 1986 Initial Boundary Value Problems in Mathematical Sciences (New York: Wiley)
19. Martin P A 1990 On the scattering of elastic waves by an elastic inclusion in two dimensions J. Mech. Appl. Math. 43 275-91
20. Pelekanos G and Sevroglou V 2003 Inverse scattering by penetrable objects in two-dimensional elastodynamics J. Comput. Appl. Math. 151 129-40
21. Polyzos D, Tsinopoulos S V and Beskos D E 1998 Static and dynamic boundary element analysis in incompressible linear elasticity Eur. J. Mech. A 17 515-36
22. Verbis J T, Kattis S E, Tsinopoulos S V and Polyzos D 2001 Wave dispersion and attenuation in fiber composites Comput. Mech. 27 244-52