A wavelet multilevel method for ill-posed problems stabilized by Tikhonov regularization

被引：2

作者：

Andreas Rieder

机构：

[1] Fachbereich Mathematik,

[2] Geb. 38,undefined

[3] Universität des Saarlandes,undefined

[4] D-66041 Saarbrücken,undefined

[5] Germany; e-mail: andreas@num.uni-sb.de,undefined

来源：

Numerische Mathematik | 1997年 / 75卷

关键词：

Mathematics Subject Classification (1991):65R20, 65R30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An additive Schwarz iteration is described for the fast resolution of linear ill-posed problems which are stabilized by Tikhonov regularization. The algorithm and its analysis are presented in a general framework which applies to integral equations of the first kind discretized either by spline functions or Daubechies wavelets. Numerical experiments are reported on to illustrate the theoretical results and to compare both discretization schemes.

引用

页码：501 / 522

页数：21

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