Mathematical model of crack diagnosis: inverse acoustic scattering problem and its high-precision numerical solution Full article
| Conference |
36TH INTERNATIONAL CONFERENCE ON VIBROENGINEERING 15-17 Mar 2019 , Дубай |
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| Journal |
Vibroengineering Procedia
ISSN: 2345-0533 |
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| Output data | Year: 2019, Volume: 22, Pages: 31-35 Pages count : 5 DOI: 10.21595/vp.2019.20513 | ||||
| Tags | Acoustic scattering; Crack; Imaging; Inverse Helmholtz problem; Level set; Noisy data; Optimization; Petrov-Galerkin generalized FEM; Variational method; Wavelet basis | ||||
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Abstract:
The inverse acoustic scattering model for crack diagnosis is described by Helmholtz problem within mathematic framework and investigated for the sake of scientific computing. Minimizing the misfit from given measurements leads to an optimality condition-based imaging function which is used for non-iterative identification of the center of an unknown crack put in a test domain. The numerical tests are presented for the cracks of T-junction shape and are carried out based on the Petrov-Galerkin generalized FEM using wavelets basis and level-sets. This shows high-precision identification result and stability to noisy data of the diagnosis, which is illustrated for sound-soft as well as moderately sound-hard cracks when varying the coefficient of surface impedance.
Cite:
Kovtunenko V.A.
Mathematical model of crack diagnosis: inverse acoustic scattering problem and its high-precision numerical solution
Vibroengineering Procedia. 2019. V.22. P.31-35. DOI: 10.21595/vp.2019.20513 Scopus РИНЦ OpenAlex
Mathematical model of crack diagnosis: inverse acoustic scattering problem and its high-precision numerical solution
Vibroengineering Procedia. 2019. V.22. P.31-35. DOI: 10.21595/vp.2019.20513 Scopus РИНЦ OpenAlex
Identifiers:
| Scopus: | 2-s2.0-85064442614 |
| Elibrary: | 38944586 |
| OpenAlex: | W2921812468 |