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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2010 Volume 10, Number 1, Pages 31–40 (Mi dvmg7)

Optimal control problem for stationary equations of elastic waves diffraction

L. V. Illarionova

Computer Centre Far-Eastern Branch of RAS

Abstract: One consider the optimal control problem for stationary equations of elastic 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. The solvability of problem is proved. The algorithm of is proposed.

Key words: stationary equations of elastic waves diffraction, optimal control problem, numerical solution.

UDC: 517.95, 517.977

MSC: 35Q72

Received: 13.12.2009



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