Geodesic
Optimal control problem for steady-state equations of acoustic wave diffraction
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 2, pp. 297-308 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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L. V. Illarionova. Optimal control problem for steady-state equations of acoustic wave diffraction. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 2, pp. 297-308. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_2_a10/

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