Publication
A hybrid method for sound-hard obstacle reconstruction
| dc.contributor.author | Kress, Rainer | |
| dc.contributor.author | Serranho, Pedro | |
| dc.date.accessioned | 2011-10-31T10:37:39Z | |
| dc.date.available | 2011-10-31T10:37:39Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | We are interested in solving the inverse problem of acoustic wave scattering to reconstruct the position and the shape of sound-hard obstacles from a given incident field and the corresponding far field pattern of the scattered field. The method we suggest is an extension of the hybrid method for the reconstruction of sound-soft cracks as presented in [R. Kress, P. Serranho, A hybrid method for two-dimensional crack reconstruction, Inverse Problems 21 (2005) 773–784] to the case of sound-hard obstacles. The designation of the method is justified by the fact that it can be interpreted as a hybrid between a regularized Newton method applied to a nonlinear operator equation with the operator that maps the unknown boundary onto the solution of the direct scattering problem and a decomposition method in the spirit of the potential method as described in [A. Kirsch, R. Kress, On an integral equation of the first kind in inverse acoustic scattering, in: Cannon, Hornung (Eds.), Inverse Problems, ISNM, vol. 77, 1986, pp. 93–102. Since the method does not require a forward solver for each Newton step its computational costs are reduced. By some numerical examples we illustrate the feasibility of the method. | por |
| dc.description.sponsorship | Bolsa FCT de doutoramento de referência SFRH/BD/14248/2003 | por |
| dc.identifier.citation | Kress, Rainer; Serranho, Pedro - A hybrid method for sound-hard obstacle reconstruction. "Journal of Computational and Applied Mathematics" [Em linha]. ISSN 0377-0427. Vol. 204, nº 2 (Jul. 2007), p. 1-13 | por |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/1931 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | ScienceDirect | por |
| dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0377042706003694 | por |
| dc.relation.publisherversion | doi:10.1016/j.cam.2006.02.047 | |
| dc.subject | Inverse scattering problem | por |
| dc.subject | Hybrid method | por |
| dc.subject | Neumann boundary condition | por |
| dc.title | A hybrid method for sound-hard obstacle reconstruction | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 427 | por |
| oaire.citation.startPage | 418 | por |
| oaire.citation.title | Journal of Computational and Applied Mathematics | por |
| person.familyName | Serranho | |
| person.givenName | Pedro | |
| person.identifier.ciencia-id | 031F-5D62-E6EC | |
| person.identifier.orcid | 0000-0003-2176-3923 | |
| rcaap.rights | openAccess | por |
| rcaap.type | article | por |
| relation.isAuthorOfPublication | c7f6eb4c-c743-4b38-83f5-70796c0851ca | |
| relation.isAuthorOfPublication.latestForDiscovery | c7f6eb4c-c743-4b38-83f5-70796c0851ca |