2 citations · 4 across the 10 of their papers we have counts for
9 papers · 1 filter
Shape optimization for thermoelasticity with temperature-dependent material parameters
Marc Dambrine, Helmut Harbrecht, Viacheslav Karnaev
We consider the numerical solution of shape optimization problems for thermoelasticity with temperature-dependent material parameters. We show the existence of the shape derivative…
Two-norm discrepancy and convergence of the stochastic gradient method with application to shape optimization
Marc Dambrine, Caroline Geiersbach, Helmut Harbrecht
The present article is dedicated to proving convergence of the stochastic gradient method in case of random shape optimization problems. To that end, we consider Bernoulli's exteri…
On the penalization by the perimeter in shape optimization applied to Dirichlet inverse obstacle problem
Fabien Caubet, Marc Dambrine, Jérémi Dardé
This paper is devoted to the understanding of regularisation process in the shape optimization approach to the so-called Dirichlet inverse obstacle problem for elliptic operators.…
Shape optimization for composite materials and scaffolds
Marc Dambrine, Helmut Harbrecht
This article combines shape optimization and homogenization techniques by looking for the optimal design of the microstructure in composite materials and of scaffolds. The developm…
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…
Stability in shape optimization with second variation
Marc Dambrine, Jimmy Lamboley, M Dambrine-J
We are interested in the question of stability in the field of shape optimization, with focus on the strategy using second order shape derivative. More precisely, we identify struc…