Optimization method for identifying the source term in an inverse wave equation
Date
2017-08-30
Authors
Deiveegan, Arumugam
Prakash, Periasamy
Nieto, Juan Jose
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Inverse problem, Source term, Optimal control, Model function
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.
Rights
Attribution 4.0 International