Analysis of 2-D cloaking Problem using Wave Flow Method

被引：0

作者：

Alekseev, G. V. ^{[1
]}

Lobanov, A. V. ^{[1
]}

机构：

[1] Far East Fed Univ, Vladivostok 690600, Russia

来源：

11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013) | 2013年 / 1558卷

关键词：

Helmholtz equation; transmission problem; surface conductivity; control problem; solvability; stability estimates;

D O I：

10.1063/1.4825510

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Control problems for 2-D model of electromagnetic field describing the scattering of H-polarized electromagnetic waves in unbounded homogeneous medium containing anisotropic permeable object with covered boundary are considered. The role of control in control problem under study is played by boundary impedance. Quadratic tracking-type functionals for the field play the role of cost functionals. Solvability of the initial mixed boundary value problem for Helmholtz equation and control problems are studied. The uniqueness and stability of optimal solutions with respect to certain perturbations of both cost functional and incident field are established.

引用

页码：404 / 407

页数：4

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