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ABSTRACT
In this paper, we study the convergence of a coefficient inverse problem for the two dimensional semi-discrete damped wave equation. Based on the new discrete Carleman estimates for the semi-discrete wave operator, the uniform stability estimate is proved. Then we prove the convergence of the semi-discrete scheme with respect to the discretization grid step h>0.
Acknowledgements
We appreciate anonymous referees very much for their valuable comments and helps. This work is supported by National Natural Science Foundation of China with grant number 11471328 and 51739007. It is also partially supported by National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
We appreciate anonymous referees very much for their valuable comments and helps. This work is supported by National Natural Science Foundation of China with grant number 11471328 and 51739007. It is also partially supported by National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences.