The far-field equations in linear elasticity - An inversion scheme

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 81, Issue 5, 2001, Pages 305-316

  Gintides, D ^a   Kiriaki, K ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044526151     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/1521-4001(200105)81:5<305::AID-ZAMM305>3.0.CO;2-T     Document Type: Article

References (16)

1. ANGELL, T. S.; KLEINMAN, R. E.; KOK, B.; ROACH, G. F.: Constructive method for identification of an impenetrable scatterer. Wave Motion 11 (1989), 185-200.
2. BEN-MENAHEM ARI; SARRA JIT SINGH: Seismic waves and sources. Springer-Verlag 1981.
3. COLTON, D.; KRESS, R.: Inverse acoustic and electromagnetic scattering theory. Springer, Berlin 1992.
4. COLTON, D.; MONK, P.: A novel method for solving the inverse scattering problem for time-harmonic acoustic waves in the resonance region. SIAM J. Appl. Math. 45 (1985), 1039-1053.
5. COLTON, D.; KIRSCH, A.: A simple method for solving the inverse scattering problems in the resonance region. Inverse Problems 12 (1990), 383-393.
6. COLTON, D.; PIANA, M.; POTTHAST, R.: A simple method using Morozov's discrepancy principle for solving scattering problems. Inverse Problems 13 (1999), 1477-1493.
7. DASSIOS, G.; RIGOU, Z.: On the density of traction traces in scattering by elastic waves. SIAM J. Appl. Math. 53 (1993), 141-153.
8. DASSIOS, G.; RIGOU, Z.: Elastic Herglotz functions. SIAM J. Appl. Math. 55 (1995) 5, 1345-1361.
9. DASSIOS, G.; RIGOU, Z.: On the reconstruction of a rigid body in the theory of elasticity. ZAMM 77 (1997) 12, 911-923.
10. GINTIDES, D.; KIRIAKI, K.: On the continuity dependence of elastic scattering amplitudes upon the shape of the scatterer. Inverse Problems 8 (1992), 95-118.
11. HAEHNER, P.; HSIAO, G. C.: Uniqueness theorems in inverse obstacle scattering of elastic waves. Inverse Problems 9 (1993), 525-534.
12. KIRSCH, A.; KRESS, R.: An optimization method in inverse acoustic scattering. In CANNON; HORNUNG (eds.): Inverse problems. ISNM 77 (1986), pp. 93-102.
13. KIRIAKI, K.: A uniquely solvable integral equation for the Neumann problem in linear elasticity. Applicable Analysis 73 (1999) 3-4, 379-392.
14. KUPRADZE, V. D.: Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity. North-Holland 1979.
15. TWERSKY, V.: Multiple scattering of electromagnetic waves by arbitrary configurations. J. Math. Phys. 8 (1967), 589-610.
16. VEKUA, I. N.: New method for solving elliptic equations. North-Holland 1968.