A fast multiscale Galerkin method for the first kind ill-posed integral equations via iterated regularization
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摘要
In this paper we develop a fast multiscale Galerkin method to solve the ill-posed integral equation via iterated Tikhonov regularization. This method leads to fast solutions of discrete iterated Tikhonov regularization. The convergence rates of iterated Tikhonov regularization are achieved by using a modified discrepancy principle. Finally, numerical experiments are given to illustrate the efficiency of the method.
论文关键词:Ill-posed integral equation,Multiscale Galerkin method,Discrepancy principle,Iterated Tikhonov regularization,Truncation method
论文评审过程:Available online 25 May 2013.
论文官网地址:https://doi.org/10.1016/j.amc.2013.04.029