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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Volume 11, Issue 6


The analytical formulas for the gradient of the residual functional for the coefficient inverse problem for the elasticity system

A. L. Karchevsky
  • Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Acad. Koptyug Avenue, 4, Novosibirsk, 630090, Russia. E-mail:
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The analytical formulas for calculating the gradient of the residual functional for the coefficient inverse problem for the system of elasticity for horizontally-stratified medium is presented. These formulas are obtained for the first time. The functional gradient is calculated for the finite number of steps. The algorithm might be easily parallelized.

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Published in Print: 2003-12-15

Citation Information: Journal of Inverse and Ill-posed Problems jiip, Volume 11, Issue 6, Pages 619–629, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/156939403322759679.

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A. L. Karchevsky
Numerical Analysis and Applications, 2012, Volume 5, Number 1, Page 54
E. Misirli (Kurpinar) and A.L. Karchevsky
Applicable Analysis, 2008, Volume 87, Number 10-11, Page 1179

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