12 citations · 69 across the 29 of their papers we have counts for
4 papers · 1 filter
Generalized optimal transport with singular sources
Jan Maas, Martin Rumpf, Stefan Simon
We present a generalized optimal transport model in which the mass-preserving constraint for the -Wasserstein distance is relaxed by introducing a source term in the continuit…
Stochastic Dominance Constraints in Elastic Shape Optimization
Sergio Conti, Martin Rumpf, Rüdiger Schultz +1
This paper deals with shape optimization for elastic materials under stochastic loads. It transfers the paradigm of stochastic dominance, which allows for flexible risk aversion vi…
Material Optimization for Nonlinearly Elastic Planar Beams
Peter Hornung, Martin Rumpf, Stefan Simon
We consider the problem of an optimal distribution of soft and hard material for nonlinearly elastic planar beams. We prove that under gravitational force the optimal distribution…
Optimization of the branching pattern in coherent phase transitions
Patrick Dondl, Behrend Heeren, Martin Rumpf
Branching can be observed at the austenite-martensite interface of martensitic phase transformations. For a model problem, Kohn and Müller studied a branching pattern with optimal…