An iterative approach to the solution of an inverse problem in linear elasticity

A. Ellabib and A. Nachaoui

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 77, issue 2, 189-201

Abstract: 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 element method is used in order to implement numerically the constructing algorithm. We discuss this implementation, mention the use of Krylov methods to solve the obtained linear algebraic systems of equations and investigate the convergence and the stability when the data is perturbed by noise.

Keywords: Boundary elements; Inverse problem; Elasticity equations; LU decomposition; Iterative methods. (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:77:y:2008:i:2:p:189-201

DOI: 10.1016/j.matcom.2007.08.014

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