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math.OC2019
A connection between topological ligaments in shape optimization and thin tubular inhomogeneities
Charles Dapogny
In this note, we propose a formal framework accounting for the sensitivity of a function of the domain with respect to the addition of a thin ligament. To set ideas, we consider th…
math.OC2015
Shape optimization for quadratic functionals and states with random right-hand sides
M. Dambrine, C. Dapogny, H. Harbrecht
In this work, we investigate a particular class of shape optimization problems under uncertainties on the input parameters. More precisely, we are interested in the minimization of…