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math.OC2026
Second order Taylor-like topological expansion with multiple holes
Kevin Sturm
In this paper we derive a framework for topological expansions of shape functionals with respect to multiple holes based on the expansion of one hole. Our strategy is similar to de…
math.OC2024
A Novel Deflation Approach for Topology Optimization and Application for Optimization of Bipolar Plates of Electrolysis Cells
Leon Baeck, Sebastian Blauth, Christian Leithäuser +2
Topology optimization problems usually feature multiple local minimizers. To guarantee convergence to local minimizers that perform best globally or to find local solutions that ar…
math.OC2024
Computing Multiple Local Minimizers for the Topology Optimization of Bipolar Plates in Electrolysis Cells
Leon Baeck, Sebastian Blauth, Christian Leithäuser +2
In this paper we consider the topology optimization for a bipolar plate of a hydrogen electrolysis cell. We use the Borvall-Petersson model to describe the fluid flow and derive a…