A posteriori parameter choice strategy for fast multiscale methods solving ill-posed integral equations

Authors:
Xingjun Luo;Fanchun Li;Suhua Yang
Affiliations:
School of Mathematics and Computer Science, Gannan Normal University, Ganzhou, People's Republic of China 341000;School of Mathematics and Computer Science, Gannan Normal University, Ganzhou, People's Republic of China 341000;School of Mathematics and Computer Science, Gannan Normal University, Ganzhou, People's Republic of China 341000
Venue:
Advances in Computational Mathematics
Year:
2012

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Abstract

We apply fast multiscale methods for solving ill-posed integral equations via the Tikhonov regularization. A modified a posteriori parameter choice strategy is presented, which leads to optimal convergence rates. Numerical experiments are given to illustrate the efficiency of the method.