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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 250, Pages 136–152
(Mi znsl647)
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This article is cited in 1 scientific paper (total in 1 paper)
Estimation of accuracy of elastic parameters recovery by diffraction tomography method with the use of finite difference method (SV-problem)
Yu. V. Kiselev, V. N. Troyan Saint-Petersburg State University
Abstract:
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.
Received: 10.09.1997
Citation:
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)”, Mathematical problems in the theory of wave propagation. Part 27, Zap. Nauchn. Sem. POMI, 250, POMI, St. Petersburg, 1998, 136–152; J. Math. Sci. (New York), 102:4 (2000), 4220–4231
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https://www.mathnet.ru/eng/znsl647 https://www.mathnet.ru/eng/znsl/v250/p136
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