Guaranteed Estimation of Solutions to Transmission Problems for Helmholtz Equation with Uncertain Data From Their Indirect Noisy Observations

被引：0
|
作者：
Podlipenko, Yuri [1 ]
Shestopalov, Yury [2 ]
机构：
[1] Taras Shevchenko Natl Univ, Kiev, Ukraine
[2] Univ Gavle, Gavle, Sweden
来源：
2016 URSI INTERNATIONAL SYMPOSIUM ON ELECTROMAGNETIC THEORY (EMTS) | 2016年
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中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
We investigate the estimation problems of linear functionals from solutions to transmission problems for Helmholtz equation with inexact data. The right-hand sides of equations entering the statements of transmission problems and the statistical characteristics of observations errors are supposed to be unknown and belonging to the certain sets. It is shown that the linear mean square estimates of the above-mentioned functionals and estimation errors are expressed via solutions to the systems of transmission problems of the special type.
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页码：93 / 95
页数：3
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