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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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: karchevs@math.nsc.ru
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: 10.1515/156939403322759679,
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