Asymptotic formula for detecting inclusions via boundary measurements
| dc.contributor.author | Khelifi, Khalifa | |
| dc.contributor.author | Abdelwahed, Mohamed | |
| dc.contributor.author | Chorfi, Nejmeddine | |
| dc.contributor.author | Hassine, Maatoug | |
| dc.date.accessioned | 2022-02-14T21:55:03Z | |
| dc.date.available | 2022-02-14T21:55:03Z | |
| dc.date.issued | 2018-06-28 | |
| dc.description.abstract | In this article, we are concerned with a geometric inverse problem related to the Laplace operator in a three-dimensional domain. The aim is to derive an asymptotic formula for detecting an inclusion via boundary measurement. The topological sensitivity method is applied to calculate a high-order topological asymptotic expansion of the semi-norm Kohn-Vogelius functional, when a Dirichlet perturbation is introduced in the initial domain. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Khelifi, K., Abdelwahed, M., Chorfi, N., & Hassine, M. (2018). Asymptotic formula for detecting inclusions via boundary measurements. Electronic Journal of Differential Equations, 2018(134), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15334 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Laplace operator | |
| dc.subject | Asymptotic analysis | |
| dc.subject | Topological gradient | |
| dc.subject | Kohn-Vogelius functional | |
| dc.title | Asymptotic formula for detecting inclusions via boundary measurements | en_US |
| dc.type | Article |