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Article Dans Une Revue Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics Année : 2008

Fast non-iterative methods for defect identification

Résumé

This communication summarizes recent investigations on the identification of defects (cavities, inclusions) of unknown geometry and topology by means of the concept of topological sensitivity. This approach leads to the fast computation (equivalent to performing a few direct solutions), by means of ordinary numerical solution methods such as the BEM (used here), the FEM or the FDM, of defect indicator functions. Substantial further acceleration is obtained by using fast multipole accelerated BEMs. Possibilities afforded by this approach are demonstrated on numerical examples. The paper concludes with a discussion of further research on theoretical and numerical issues.
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Dates et versions

hal-00111406 , version 1 (09-08-2008)

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Marc Bonnet, B. B. Guzina, N. Nemitz. Fast non-iterative methods for defect identification. Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, 2008, 17, pp.571-582. ⟨10.3166/remn.17.571-582⟩. ⟨hal-00111406⟩
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