Cauchy Problem for Laplace Equation: An Observer based Approach

被引:0
|
作者
Majeed, Muhammad Usman [1 ]
Zayane-Aissa, Chadia [2 ]
Laleg-Kirati, Taous Meriem [2 ]
机构
[1] King Abdullah Univ Sci & Technol KAUST, Comp Elect & Math Sci & Engn CEMSE, Thuwal, Saudi Arabia
[2] KAUST, CEMSE, Thuwal, Saudi Arabia
关键词
ELECTROCARDIOGRAPHY;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A method to solve Cauchy Problem for Laplace equation using state observers is proposed. It is known that this problem is ill-posed. The domain under consideration is simple lipschitz in R-2 with a hole. The idea is to recover the solution over whole domain from the observations on outer boundary. Proposed approach adapts one of the space variables as a time variable. The observer developed to solve Cauchy problem for the Laplace's equation is compuationally robust and accurate.
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页数:6
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