The SFB program expired on September 30, 2008. For the link to the successor project click DK Computational Mathematics
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Abstract


The subject of this project is

the development, analysis and implementation of efficient, mainly iterative, numerical algorithms for solving inverse problems.

Many physically relevant inverse problems are ill-posed in the sense of Hadamard and have to be solved by regularization methods. Besides Tikhonov regularization, which is the probably most well-known regularization method for linear as well as nonlinear inverse problems, iterative regularization algorithms have more recently been investigated and applied successfully to the solution of, especially nonlinear and large-scale problems.

A sound mathematical theory is the basis for an successful application of the above mentioned regularization methods. The choice of the right method for a specific problem, and optimal choice of parameters in the algorithms, in particular the regularization parameter or stopping index is only possible on behalf of a found theoretical background. A further important issue in applications is the efficient coupling of regularization schemes and discretization strategies. Thus, integration of regularization methods and solvers for the direct problems (partly developed and analysed within other projects of this SFB) is one of the major aims of this project.

Objectives

Internal Cooperations

People

Principal Investigator
Prof. Dr. Heinz W. Engl 9219  mail

Scientific Staff
Dr. Lin He 9229  mail
Dr. Hanna Katriina Pikkarainen 5233  mail
Dr. Eva Sincich 5237  mail
Dr. Mourad Sini 9229  mail
DI Marie-Therese Wolfram   

Publications

List of Publications.

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SpezialForschungsBereich SFB F013 | Special Research Program of the FWF - Austrian Science Fund