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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2018 Volume 18, Number 2, Pages 195–205 (Mi dvmg381)

On the optimal control problem for equations of acoustic wave diffraction

L. V. Illarionova

Computer Centre of Far Eastern Branch RAS

Abstract: One consider the optimal control problem for stationary equations of acoustic waves diffraction on three-dimensional inclusion in unbounded homogeneous medium. The problem is to minimize $L^2$-deviation of pressure field in inclusion from the given. The control is the field source in the exterior medium.

Key words: acoustic wave diffraction, optimal control problem, Helmholtz equation.

UDC: 517.95+517.977

MSC: 35J05

Received: 17.09.2018



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