Solution of Ill-Posed Problems via Adaptive Grid Regularization: Convergence Analysis

Author： Neubauer Andreas  

Publisher： Taylor & Francis Ltd

ISSN： 0163-0563

Source： Numerical Functional Analysis and Optimization, Vol.28, Iss.3-4, 2007-03, pp. : 405-423

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Abstract

A new regularization method, adaptive grid regularization, has been presented. Numerical results there show in a convincing way that this method is a powerful tool to identify discontinuities of solutions of ill-posed problems. It is the aim of this paper to give a convergence analysis for this new method.

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