Optimal Control Problem for Steady-State Equations of Acoustic Wave Diffraction

被引：0
|
作者：
Illarionova, L. V. [1 ]
机构：
[1] Russian Acad Sci, Ctr Comp, Far E Div, Khabarovsk 680000, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2008年 / 48卷 / 02期
关键词：
steady-state equations of acoustic wave diffraction; optimal control problem; numerical method of solution; algorithm convergence proof;
D O I：
10.1134/S0965542508020115
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：284 / 294
页数：11
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