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Numerical Regularization of Optimal Control for the Coefficient Function in a Wave Equation

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Abstract

This study deals with optimal control of the coefficient function in a wave equation. After displaying the ill-posedness of the problem, a regularized version is considered instead. The stages of finding the optimal control and approximation processes to this control are investigated, respectively. The results of regularization process are tested with numerical examples.

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Authors and Affiliations

  1. Department of Mathematics, Science Faculty, Atatürk University, Erzurum, Turkey

    Murat Subaşi

  2. Department of Mathematics Education, Faculty of Education, Siirt University, Siirt, Turkey

    Seda Iğret Araz

Authors
  1. Murat Subaşi
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  2. Seda Iğret Araz
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Correspondence to Murat Subaşi.

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Subaşi, M., Araz, S.I. Numerical Regularization of Optimal Control for the Coefficient Function in a Wave Equation. Iran J Sci Technol Trans Sci 43, 2325–2333 (2019). https://doi.org/10.1007/s40995-019-00690-9

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  • DOI: https://doi.org/10.1007/s40995-019-00690-9

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