Inverse wave scattering in 2-D elastic solids

Acta Mechanica

Volumn 136, Issue 1, 1999, Pages 1-15

  Tadi, M ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; ELASTICITY; INVERSE PROBLEMS; ITERATIVE METHODS; OPTIMIZATION; SOLIDS; TWO DIMENSIONAL;

INVERSE WAVE SCATTERING; TWO DIMENSIONAL ELASTIC SOLID;

ELASTIC WAVES;

EID: 0032592765     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01292294     Document Type: Article

References (19)

1. Beck, J. V., Blackwell, B., St. Clair, C. R.: Inverse heat conduction: ill-posed problems. New York: Wiley 1985.
2. Gottfried, A.: Inverse problem in differential equations. New York: Plenum Press 1990.
3. Tikhonov, A. N., Arsenin, V.: Solutions of ill-posed problems. New York: Wiley 1977.
4. Parker, R. L.: Geophysical inverse theory. Princeton: Princeton University Press 1994.
5. Blakemore, M., Georgious, G. A.: Mathematical modelling in non-destructive testing. New York: Oxford 1988.
6. Stoffa, P. L., Sen, M. K.: Nonlinear multiparameter optimization using genetic algorithms: inversion of plane-wave seismograms. Geophysics 56, 1794-1810 (1991).
7. Mosegaard, K., Verstergaard, P. D.: A simulated annealing approach to seismic model optimization with sparse prior information. Geophys. Prospect. 89, 599-611 (1991).
8. Jim Yeh, T. C., Zhang, J.: A geostatistical inverse method for variably saturated flow in the vadose zone. Water Resour. Res. 32, 2757-2766 (1996).
9. Woodburry, A.: Minimum relative entropy inversion: theory and application to recovering the release history of a groundwater contaminant. Water Resour. Res. 32, 2671-81 (1996).
10. Chew, W., Wang, Y.: Reconstruction of two-dimensional permittivity distribution using the distorted born iterative method. IEEE Trans. Medical Imaging 9, 218-25 (1990).
11. Keys, R.: An application of Marquardt's procedure to the seismic inversion problem. Proc. of the IEEE 74, 476, (1986).
12. Tadi, M.: Explicit method for inverse wave scattering in solids. Inverse Problems 13, 509-521 (1997).
13. Graff, K. F.: Wave motion in elastic solids. London: Oxford University Press 1975.
14. Tadi, M.: Variational method for the solution of tpbvp arising in mechanics. Comp. Mech. 20, 468-473 (1997).
15. Anderson, B. D. O., Moore, J. B.: Optimal control, linear quadratic methods. Englewood Cliffs: Prentice Hall 1990.
16. Zienkiewicz, O. C.: The finite element method. Berkshire: McGraw-Hill 1977.
17. Richtmyer, R. D., Morton, K. W.: Difference methods for initial-value problems. New York: Wiley 1967.
18. Bond, L. J., Punjani, M., Saffari, N.: Ultrasonic wave propagation and scattering using explicit finite differencing methods. In: Mathematical modelling in non-destructive testing (Blackmore, M., Georgious, G., eds.), pp. 81-124. New York: Oxford 1988.
19. Ilan, A., Ungar, A., Alterman, Z.: An improved representation of boundary conditions in finite difference schemes for seismological problem. Geophys. J. Royal Astron. Soc. 43, 727-745 (1975).