Geodesic
Estimation of accuracy of elastic parameters recovery by diffraction tomography method with the use of finite difference method (SV-problem)
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 27, Tome 250 (1998), pp. 136-152

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Numerical simulation of the solution of (2-D,SV) inverse problem on recovery of elastic parameters of local ($\sim\lambda$) inhomogeneity by diffraction tomography method based upon the Born approximation is considered. The direct problem is solved by the finite difference method. The satisfactory accuracy for restoration of non-weak contrast inhomogeneities located in piecewise-homogeneous layered medium is obtained by means of nine source-receiver pairs places at free surface. An example of a numerical estimation of the accuracy of the scattering field calculation in Born approximation with approximation of the wave field by zero term of the ray method is considered. 
@article{ZNSL_1998_250_a9,
     author = {Yu. V. Kiselev and V. N. Troyan},
     title = {Estimation of accuracy of elastic parameters recovery by diffraction tomography method with the use of finite difference method {(SV-problem)}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {136--152},
     publisher = {mathdoc},
     volume = {250},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a9/}
}
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Yu. V. Kiselev; V. N. Troyan. Estimation of accuracy of elastic parameters recovery by diffraction tomography method with the use of finite difference method (SV-problem). Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 27, Tome 250 (1998), pp. 136-152. http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a9/