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

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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.

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Attribution 4.0 International

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