2 papers
math.OC2023
Modeling Minimum Cost Network Flows With Port-Hamiltonian Systems
Onur Tanil Doganay, Kathrin Klamroth, Bruno Lang +2
We give a short overview of advantages and drawbacks of the classical formulation of minimum cost network flow problems and solution techniques, to motivate a reformulation of clas…
math.OC2023
Non-convex shape optimization by dissipative Hamiltonian flows
Matthias Bolten, Onur Tanil Doganay, Hanno Gottschalk +1
Shape optimization with constraints given by partial differential equations (PDE) is a highly developed field of optimization theory. The elegant adjoint formalism allows to comput…