Simultaneous solution approaches for large optimization problems

Authors:
Volker Schulz
Affiliations:
Department of Mathematics, University of Trier, FB IV, Trier D-54286, Germany
Venue:
Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
Year:
2004

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Abstract

In this paper, efficient simultaneous strategies are presented for the optimization of practical problems involving PDE-models. In particular, reduced sequential quadratic programming methods for problems with only few influence variables and simultaneous quadratic programming iterations are discussed. As a result we obtain algorithms whose overall computational complexity is reduced considerably in comparison to a black-box approach.