Comparison of Tikhonov Regularization and Adaptive Regularization for III-Posed Problems

Wen  Dong; Tao  Sun

doi:10.4028/www.scientific.net/AMM.380-384.1193

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 380-384Comparison of Tikhonov Regularization and Adaptive...

Comparison of Tikhonov Regularization and Adaptive Regularization for III-Posed Problems

Abstract:

nverse problems are important interdisciplinary subject, which receive more and more attention in recent years in the areas of mathematics, computer science, information science and other applied natural sciences. There is close relationship between inverse problems and ill-posedness. Regularization is an important strategy when computing the ill-posed problems to maintain the stability of the computation.This paper compares a new regularization method,which is called Adaptive regularization, with the traditional Tikhonov regularization method. The conclusion that Adaptive regularization method is a stronger regularization method than the traditional Tikhonov regularization method can be made by computing some numerical examples.

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Periodical:

Applied Mechanics and Materials (Volumes 380-384)

Pages:

1193-1196

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.380-384.1193

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Online since:

August 2013

Authors:

Wen Dong, Tao Sun

Keywords:

Adaptive Regularization, III-Posed Problems, Minimization, Regularization

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