Optimization method for identifying the source term in an inverse wave equation

Simple item page
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Análise Matemática, Estatística e Optimizacióngl
dc.contributor.authorDeiveegan, Arumugam
dc.contributor.authorPrakash, Periasamy
dc.contributor.authorNieto Roig, Juan José
dc.date.accessioned2018-11-02T09:12:48Z
dc.date.available2018-11-02T09:12:48Z
dc.date.issued2017
dc.description.abstractIn this work, we investigate the inverse problem of identifying a space-wise dependent source term of wave equation from the measurement on the boundary. On the basis of the optimal control framework, the inverse problem is transformed into an optimization problem. The existence and necessary condition of the minimizer for the cost functional are obtained. The projected gradient method and two-parameter model function method are applied to the minimization problem and numerical results are illustratedgl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThis work was supported by University Grants Commission, New Delhi, India, Major Research Project 41-798/2012 (SR). This work has been completed during the visits of P. Prakash to the USC and has been partially supported by Ministerio de Economia y Competitividad (Spain), Project MTM2010- 15314, and cofinanced by the European Community fund FEDER. The second author was supported by the University Grants Commission, New Delhi, India, under Special Assistance Programme F.510/7/DRS-1/2016(SAP-I)gl
dc.identifier.citationDeiveegan, A., Prakash, P. & Nieto, J.J. (2017). Optimization method for identifying the source term in an inverse wave equation. Electron. Journal of Differential Equations, no. 200, pp. 1-15gl
dc.identifier.issn1072-6691
dc.identifier.urihttp://hdl.handle.net/10347/17663
dc.language.isoenggl
dc.publisherTexas State Universitygl
dc.relation.publisherversionhttp://ejde.math.txstate.edugl
dc.rights© 2017 Texas State University. This work is licensed under a Creative Commons Attribution 4.0 International Licensegl
dc.rightsAtribución 4.0 Internacional
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectInverse problemgl
dc.subjectSource termgl
dc.subjectOptimal controlgl
dc.subjectModel functiongl
dc.titleOptimization method for identifying the source term in an inverse wave equationgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication85e127ae-7ec7-48e4-bb4a-8eb83882ea26
relation.isAuthorOfPublication.latestForDiscovery85e127ae-7ec7-48e4-bb4a-8eb83882ea26

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
2017_ejde_deiveegan_optimization_method.pdf
Size:
394.31 KB
Format:
Adobe Portable Document Format
Description:
Download

Collections

Estatística, Análise Matemática e Optimización