Variational approach for identifying a coefficient of the wave equation
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Cheok Choi
chuck01@snu.ac.kr
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Gen Nakamura
gnaka@math.sci.hokudai.ac.jp
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Kenji Shirota
shirota@mx.ibaraki.ac.jp
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Abstract
An inverse initial-boundary value problem for identifying the coefficient of some second order hyperbolic equation by single set of boundary measurement is considered. The problem is transformed to a minimization problem of a functional. After a concrete expression of the Gateaux derivative of the functional is obtained, an algorithm for identifying the coefficient is given based on the projected gradient method. A numerical result is presented to verify the algorithm.
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Published
2007-08-01
How to Cite
[1]
C. Choi, G. Nakamura, and K. Shirota, “Variational approach for identifying a coefficient of the wave equation”, CUBO, vol. 9, no. 2, pp. 81–101, Aug. 2007.
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