C01: Port-Hamiltonian methods in multi-objective shape optimization
Principal investigators:
Prof. Dr. Matthias Bolten; Prof. Dr. Hanno Gottschalk; Prof. Dr. Kathrin Klamroth
Project description:
Shape optimization minimizes material resources while maintaining critical stress limits. This project improves solution methods by incorporating impulse information from port-Hamiltonian dynamics. This solves the fundamental problem of stagnation in suboptimal solutions. As a further innovative approach, the methods are adapted to multi-objective optimization problems in order to balance the competing objectives occurring in shape optimization.
Researchers:
Publications of project C01:
1.
Bolten, M.; Doganay, O. T.; Gottschalk, H.; Klamroth, K.
Non-convex shape optimization by dissipative Hamiltonian flows
Eng. Optim. :1—20
2024
