dc.contributor.author | Karageorghis, Andreas | en |
dc.contributor.author | Lesnic, D. | en |
dc.contributor.author | Marin, L. | en |
dc.creator | Karageorghis, Andreas | en |
dc.creator | Lesnic, D. | en |
dc.creator | Marin, L. | en |
dc.date.accessioned | 2021-01-25T08:41:24Z | |
dc.date.available | 2021-01-25T08:41:24Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 0955-7997 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/62853 | |
dc.description.abstract | We employ the method of fundamental solutions (MFS) for detecting a scatterer surrounding a host acoustic homogeneous medium D due to a given point source inside it. On the boundary of the unknown scatterer (assumed to be star-shaped), allowing for the normal velocity to be proportional to the excess pressure, a Robin impedance boundary condition is considered. The coupling Robin function λ may or may not be known. The additional information which is supplied in order to compensate for the lack of knowledge of the boundary ∂D of the interior scatterer D and/or the function λ is given by the measurement of the scattered field (generated by the interior point source) on a curve inside D. These measurements may be contaminated with noise so their inversion requires regularization. This is enforced by minimizing a penalised least-squares functional containing various regularization parameters to be prescribed. In the MFS, the unknown scattered field us is approximated with a linear combination of fundamental solutions of the Helmholtz operator with their singularities excluded from the solution domain D and this yields the discrete version of the objective functional. Physical constraints are added and the resulting constrained minimization problem is solved using the MATLAB© toolbox routine lsqnonlin. Numerical results are presented and discussed. | en |
dc.language.iso | en | en |
dc.source | Engineering Analysis with Boundary Elements | en |
dc.source.uri | http://www.sciencedirect.com/science/article/pii/S0955799717303168 | |
dc.title | The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.enganabound.2017.07.005 | |
dc.description.volume | 92 | |
dc.description.startingpage | 218 | |
dc.description.endingpage | 224 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.source.abbreviation | Engineering Analysis with Boundary Elements | en |
dc.contributor.orcid | Karageorghis, Andreas [0000-0002-8399-6880] | |
dc.gnosis.orcid | 0000-0002-8399-6880 | |