Optimization method for identifying the source term in an inverse wave equation
| dc.contributor.author | Deiveegan, Arumugam | |
| dc.contributor.author | Prakash, Periasamy | |
| dc.contributor.author | Nieto, Juan Jose | |
| dc.date.accessioned | 2022-06-10T18:21:08Z | |
| dc.date.available | 2022-06-10T18:21:08Z | |
| dc.date.issued | 2017-08-30 | |
| dc.description.abstract | 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Deiveegan, A., Prakash, P., & Nieto, J. J. (2017). Optimization method for identifying the source term in an inverse wave equation. Electronic Journal of Differential Equations, 2017(200), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15894 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Inverse problem | |
| dc.subject | Source term | |
| dc.subject | Optimal control | |
| dc.subject | Model function | |
| dc.title | Optimization method for identifying the source term in an inverse wave equation | en_US |
| dc.type | Article |