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A relaxation method of an alternating iterative algorithm for the Cauchy problem in linear isotropic elasticity

✍ Scribed by Liviu Marin; B. Tomas Johansson

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
1010 KB
Volume
199
Category
Article
ISSN
0045-7825

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✦ Synopsis

We propose two algorithms involving the relaxation of either the given Dirichlet data (boundary displacements) or the prescribed Neumann data (boundary tractions) on the over-specified boundary in the case of the alternating iterative algorithm of Kozlov et al. [16] applied to Cauchy problems in linear elasticity. A convergence proof of these relaxation methods is given, along with a stopping criterion. The numerical results obtained using these procedures, in conjunction with the boundary element method (BEM), show the numerical stability, convergence, consistency and computational efficiency of the proposed method.

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An iterative approach to the solution of an inverse problem in linear elasticity
✍ A. Ellabib; A. Nachaoui πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 893 KB

This paper presents an iterative alternating algorithm for solving an inverse problem in linear elasticity. A relaxation procedure is developed in order to increase the rate of convergence of the algorithm and two selection criteria for the variable relaxation factors are provided. The boundary elem