On the reconstruction of a rigid body in the theory of elasticity

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 77, Issue 12, 1997, Pages 911-923

  Dassios, G ^a   Rigou, Z ^b  

^a UNIVERSITY OF PATRAS   (Greece)

^b INSTITUTE OF CHEMICAL ENGINEERING SCIENCES   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28344452425     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/zamm.19970771208     Document Type: Article

References (22)

1. BRAND, L.: Vector and tensor analysis. John Wiley, New York 1947.
2. COLTON, D.: Analytic theory of partial differential equations. Pitman, Boston 1980.
3. COLTON, D.; KRESS, R.: Integral equation methods in scattering theory. John Wiley, New York 1983.
4. COLTON, D.; KIRSCH, A.: Dense sets and far field patterns in acoustic wave propagation. SIAM J. Math. Anal. 15 (1984), 996-1006.
5. COLTON, D.; KRESS, R.: Dense sets and far field patterns in electromagnetic wave propagation. SIAM J. Math. Anal. 16 (1985), 1049-1060.
6. 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.
7. COLTON, D.; MONK, P.: A novel method for solving the inverse scattering problem for time-harmonic acoustic waves in the resonance region II. SIAM J. Appl. Math. 46 (1986), 506-523.
8. COLTON, D.: A new method for solving the inverse scattering problem. In: SLEEMAN, B. D.; JARVIS, R. J. (eds.): Proc. Ninth Dundee Conference 1986, 1987, pp. 37-51.
9. COLTON, D.; KRESS, R.: Inverse acoustic and electromagnetic scattering theory. Springer-Verlag, Berlin 1992.
10. DASSIOS, G.; KIRIAKI, K.: The low-frequency theory of elastic wave scattering. Quart. Appl. Math. 42 (1984), 225-248.
11. DASSIOS, G.: The Atkinson-Wilcox expansion theorem for elastic waves. Quart. Appl. Math. 46 (1988), 285-299.
12. DASSIOS, G.; RIGOU, Z.: On the density of traction traces in scattering of elastic waves. SIAM J. Appl. Math. 53 (1993), 141-153.
13. DASSIOS, G.; KIRIAKI, K.; POLYZOS, D.: Scattering theorems for complete dyadic fields. Internat. J. Engng. Sci. 33 (1995), 269-277.
14. DASSIOS, G.; RIGOU, Z.: Elastic Herglotz functions. SIAM J. Appl. Math. 55 (1995), 1345-1361.
15. HARTMAN, P.; WILCOX, C.: On solutions of the Helmholtz equation in exterior domains. Math. Z. 75 (1961), 228-255.
16. JACKSON, J. D.: Classical electrodynamics. John Wiley, New York 1962.
17. KUPRADZE, V. D.: Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity. North-Holland, Amsterdam 1979.
18. MARTIN, P. A.; DASSIOS, G.: Karp's theorem in elastodynamic inverse scattering. Inv. Prob. 9 (1993), 97-111.
19. PIRONNEAU, O.: Optimal shape design for elliptic systems. Springer-Verlag, New York 1984.
20. TWERSKY, V.: Multiple scattering of electromagnetic waves by arbitrary configurations. J. Math. Phys. 8 (1967), 589-610.
21. VEKUA, I. N.: New methods for solving elliptic equations. North-Holland, Amsterdam 1968.
22. WALL, D. J. N.: Uniqueness theorems for the inverse problems of elastodynamic boundary scattering. IMA J. Appl. Math. 44 (1990), 221-241.