Fast non-iterative methods for defect identification

Marc Bonnet, Bojan B. Guzina, Nicolas Nemitz

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)571-582
Number of pages12
JournalEuropean Journal of Computational Mechanics
Issue number5-7
StatePublished - 2008
Externally publishedYes

Bibliographical note

Funding Information:
Table 1. Number of element and DOFs supported by the BE meshes


  • Fast multipole method
  • Inverse problems
  • Topological sensitivity


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