Properties of Chance Constraints in Infinite Dimensions with an Application to PDE Constrained Optimization
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DOI: 10.1007/s11228-017-0452-5
Abstract: Chance constraints represent a popular tool for finding decisions that enforce the satisfaction of random inequality systems in terms of probability. They are widely used in optimization problems subject to uncertain parameters as they arise… read more here.
Keywords: chance; pde constrained; optimization; properties chance ... See more keywords
Reproducing kernel Hilbert spaces and variable metric algorithms in PDE-constrained shape optimization
Sign Up to like & getrecommendations! Published in 2018 at "Optimization Methods and Software"
DOI: 10.1080/10556788.2017.1314471
Abstract: In this paper we investigate and compare different gradient algorithms designed for the domain expression of the shape derivative. Our main focus is to examine the usefulness of kernel reproducing Hilbert spaces for PDE-constrained shape… read more here.
Keywords: shape optimization; shape; hilbert spaces; pde constrained ... See more keywords