Yazar "Subasi, Murat" seçeneğine göre listele

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    Öğe
    Numerical Regularization of Optimal Control for the Coefficient Function in a Wave Equation
    (Springer International Publishing Ag, 2019) Subasi, Murat; Araz, Seda Igret
    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.
  • [ X ]
    Öğe
    On the Control of Coefficient Function in a Hyperbolic Problem with Dirichlet Conditions
    (Hindawi Ltd, 2018) Araz, Seda Igret; Subasi, Murat
    This paper presents theoretical results about control of the coefficient function in a hyperbolic problem with Dirichlet conditions. The existence and uniqueness of the optimal solution for optimal control problem are proved and adjoint problem is used to obtain gradient of the functional. However, a second adjoint problem is given to calculate the gradient on the space W-2(1) (0, 1). After calculating gradient of the cost functional and proving the Lipschitz continuity of the gradient, necessary condition for optimal solution is constructed.