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.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…
math.OC2025
Optimization of the cut configuration for skin grafts
Helmut Harbrecht, Viacheslav Karnaev
The subject of this work is the problem of optimizing the configuration of cuts for skin grafting in order to improve the efficiency of the procedure. We consider the optimization…