Asymptotic Behavior of Solutions to Multiplicative Control Problems for Elliptic Equations

被引：2
|
作者：
Brizitskii, R. V. [1 ]
Savenkova, A. S. [1 ]
机构：
[1] Russian Acad Sci, Inst Appl Math, Far E Div, Vladivostok 690041, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2008年 / 48卷 / 09期
基金：
俄罗斯基础研究基金会;
关键词：
optimal control with distributed parameters; impedance; asymptotic behavior; Helmholtz equation; diffusion equation; mass transfer coefficient;
D O I：
10.1134/S0965542508090078
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problems of optimal multiplicative control for the Helmholtz equation and the diffusion equation are studied. The control function is included multiplicatively in a mixed-type boundary condition specified on the entire domain boundary or its part. For each of the models under study, an iterative method for determining an approximate solution is constructed and theoretically substantiated for sufficiently large values of the regularization parameter.
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页码：1570 / 1580
页数：11
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