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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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Numerical reconstruction of medium parameters of the member of thin anisotropic layers

A. L. Karchevsky

Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Acad. Koptyug prosp., 4, Novosibirsk, 630090, Russia. E-mail:

Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 12, Issue 5, Pages 519–534, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/1569394042531332,

Publication History

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In the paper we numerically solve an inverse problem of determination of medium parameters of a member of thin anisotropic layers for an elasticity system. We also investigate a case of a transversely isotropic medium with the symmetry axis lying in the plane Oxy. For example, this model can describe a vertically fractured medium. We present one of the possible ways of numerical solution of the problem. Examples of the numerical reconstruction show efficiency of the algorithm offered.

Citing Articles

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[1]
L. A. Nazarov, L. A. Nazarova, A. L. Karchevskii, and A. V. Panov
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Number 2, Page 234
[2]
A. L. Karchevsky
Numerical Analysis and Applications, 2012, Volume 5, Number 1, Page 54
[3]
E. Misirli (Kurpinar) and A.L. Karchevsky
Applicable Analysis, 2008, Volume 87, Number 10-11, Page 1179
[4]
A. L. Karchevsky
Journal of Inverse and Ill-posed Problems, 2010, Volume 18, Number 4

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