2 citations · 4 across the 10 of their papers we have counts for
15 papers
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…
An inverse problem for the one-phase Stefan problem with varying melting temperature
Marc Dambrine, Helmut Harbrecht
The present article is dedicated to the forward and backward solution of a transient one-phase Stefan problem. In the forward problem, we compute the evolution of the initial domai…
Error analysis for stochastic gradient optimization schemes using modified equations
Charles-Edouard Bréhier, Marc Dambrine, Nassim En-Nebbazi
We consider a class of stochastic gradient optimization schemes. Assuming that the objective function is strongly convex, we prove weak error estimates which are uniform in time fo…
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…