Arumugam Deiveegan, Periasamy Prakash, Juan Jose Nieto
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.
Submitted September 1, 2015. Published August 30, 2017.
Math Subject Classifications: 35L05, 35R30, 49J20.
Key Words: Inverse problem; source term; optimal control; model function.
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Arumugam Deiveegan Department of Mathematics Periyar University Salem 636 011, India email: deiveegan.a@gmail.com |
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Periasamy Prakash Department of Mathematics Periyar University Salem 636 011, India email: pprakashmaths@gmail.com |
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Juan Jose Nieto Departamento de Análisis Matemático Facultad de Matemáticas Universidad de Santiago de Compostela Santiago de Compostela 15782, Spain email: juanjose.nieto.roig@usc.es |
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