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| HAL: hal-00111406, version 1 |
| DOI: 10.3166/remn.17.571-582 |
| Detailed view |  Export this paper |
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| Revue Européenne de Mécanique Numérique 17 (2008) 571-582 |
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| Fast non-iterative methods for defect identification |
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| Marc Bonnet 1B. B. Guzina 2 |
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| (2008) |
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| 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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| 1: | Laboratoire de mécanique des solides (LMS) |
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CNRS : UMR7649 – Polytechnique - X – Mines ParisTech |
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| 2: | Department of Civil Engineering |
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University of Minnesota |
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| Subject | : | Physics/Mechanics/Mechanics of the solides Engineering Sciences/Mechanics/Mechanics of the solides |
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| Attached file list to this document: | |||||
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| hal-00111406, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00111406 | |
| oai:hal.archives-ouvertes.fr:hal-00111406 | |
| From: Marc Bonnet | |
| Submitted on: Saturday, 9 August 2008 01:06:13 | |
| Updated on: Wednesday, 8 October 2008 16:05:54 | |
