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.

引用

页码：284 / 294

页数：11

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