A stabilization procedure by line-search computation for first order approximation strategies in structural optimization
✍ Scribed by R. Mahnken; E. Stein; D. Bischoff
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 672 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
The paper is concerned with first order approximation methods to solve non-linear optimization problems as they arise in structural optimization. A modification of the original Method of Moving Asymptotes (MMA) is presented to prevent oscillation or divergence by incorporating a line-search into the global iteration algorithm. In this line-search a merit-function of augmented Lagrangian type is decreased by using a backtracking,strategy. A proof is presented to show the descent property of the proposed merit-function for MMA. Numerical examples demonstrate how the new technique stabilizes the iteration process.