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

@inproceedings{Liu2011TheSR, title={The Spring-Damping Regularization Method and the Lie-Group Shooting Method for Inverse Cauchy Problems}, author={Chein-Shan Liu and Chung-Lun Kuo and Dongjie Liu}, year={2011} }

- Published 2011
DOI:10.3970/cmc.2011.024.105

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… CONTINUE READING

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