Journal
SIAM JOURNAL ON OPTIMIZATION
Volume 19, Issue 4, Pages 1610-1632Publisher
SIAM PUBLICATIONS
DOI: 10.1137/070702059
Keywords
two-stage stochastic programming; shape optimization in elasticity; level set method
Categories
Funding
- Deutsche Forschungsgemeinschaft
Ask authors/readers for more resources
We present an algorithm for shape optimization under stochastic loading and representative numerical results. Our strategy builds upon a combination of techniques from two-stage stochastic programming and level-set-based shape optimization. In particular, usage of linear elasticity and quadratic objective functions permits us to obtain a computational cost which scales linearly in the number of linearly independent applied forces, which often is much smaller than the number of different realizations of the stochastic forces. Numerical computations are performed using a level set method with composite finite elements both in two and in three spatial dimensions.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available