Abstract:
An optimal control problem is considered for the steady-state equations of acoustic wave diffraction caused by a three-dimensional inclusion in an unbounded homogeneous medium. The task is to minimize the $L^2$-deviation of the pressure field inside the inclusion from a certain prescribed value due to changing the field sources in the external medium. The solvability of the problem is proved. A solution algorithm is proposed, and its convergence is proved.
Key words:steady-state equations of acoustic wave diffraction, optimal control problem, numerical method of solution, algorithm convergence proof.
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