The Spring-Damping Regularization Method and the Lie-Group Shooting Method for Inverse Cauchy Problems

被引：0
|
作者：
Liu, Chein-Shan [1 ]
Kuo, Chung-Lun [2 ]
Liu, Dongjie [3 ]
机构：
[1] Natl Taiwan Univ, Dept Civil Engn, Taipei 10764, Taiwan
[2] Natl Taiwan Ocean Univ, Dept Syst Engn & Naval Architecture, Keelung, Taiwan
[3] Shanghai Univ, Coll Sci, Dept Math, Shanghai, Peoples R China
来源：
CMC-COMPUTERS MATERIALS & CONTINUA | 2011年 / 24卷 / 02期
关键词：
Lie-group shooting method; Elliptic equations; Inverse Cauchy problem; Ill-posed problem; Spring-damping regularization method; GROUP PRESERVING SCHEME; BOUNDARY-ELEMENT METHOD; GROUP ADAPTIVE METHOD; HIGHLY ACCURATE MCTM; FOURIER REGULARIZATION; LAPLACE EQUATION; SYSTEM; CONE; LGSM;
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：
The inverse Cauchy problems for elliptic equations, such as the Laplace equation, the Poisson equation, the Helmholtz equation and the modified Helmholtz equation, defined in annular domains are investigated. The outer boundary of the annulus is imposed by overspecified boundary data, and we seek unknown data on the inner boundary through the numerical solution by a spring-damping regularization method and its Lie-group shooting method (LGSM). Several numerical examples are examined to show that the LGSM can overcome the ill-posed behavior of inverse Cauchy problem against the disturbance from random noise, and the computational cost is very cheap.
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页码：105 / 123
页数：19
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