Optimization method for identifying the source term in an inverse wave equation
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 co...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2017-08-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2017/200/abstr.html |
Summary: | 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. |
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ISSN: | 1072-6691 |