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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Determination of physical and geometrical characteristics of layered inhomogeneous elastic medium

1Institute of Computational Modelling, Siberian Branch of Russian Academy of Science, 660036, Krasnoyarsk, Russia.

2Lavrentiev Institute of Hydrodynamics, Siberian Branch of Russian Academy of Science, 630090, Novosibirsk, Russia; Novosibirsk State University, 630090, Novosibirsk, Russia.

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 18, Issue 8, Pages 895–915, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2011.010, April 2011

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The article contains an exposition of the basic idea of construction of numerical algorithms based upon the several local approximations by linear polynomials for every sought-for function of dynamic problems of solids. We discuss also some problems of determination of physical and geometrical characteristics of layered inhomogeneous medium.

Keywords.: Numerical algorithm; decomposition scheme; layered medium; inverse problem

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