Optimization method for identifying the source term in an inverse wave equation
| Autor: | Deiveegan Arumugam, Prakash, P., Nieto, J. J. |
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| Přispěvatelé: | Universidade de Santiago de Compostela. Departamento de Análise Matemática, Estatística e Optimización |
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| Zdroj: | Scopus-Elsevier Electronic Journal of Differential Equations, Vol 2017, Iss 200, Pp 1-15 (2017) Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela instname |
| Popis: | In 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 illustrated This 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) SI |
| Databáze: | OpenAIRE |
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