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An effective algorithm for reconstructing boundary conditions in elastic solids

✍ Scribed by Emilio Turco

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 227 KB
Volume: 190
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(00)00297-8

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✦ Synopsis

This paper discusses the reconstruction of boundary conditions for linear elastic solids when there are not enough known boundary conditions but the stress tensor is known in a sucient number of internal points. Starting with a re®ned boundary elements discretization of the elastic solid, an iterative strategy based on the conjugate gradient method is presented. This iterative strategy uses a Monte-Carlo simulation of the generalized cross-validation criterion to select the optimal solution. The proposed algorithm possesses some advantages with respect to direct approaches. Indeed, it furnishes almost as accurate results but at a low computational cost. Some numerical results allow an analysis of the algorithm's performance.

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