3 papers
math.OC2026
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…
math.NA2026
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…
math.NA2025
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…