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math.OC2022
Bilevel Optimization of the Kantorovich Problem and its Quadratic Regularization Part II: Convergence Analysis
Sebastian Hillbrecht, Paul Manns, Christian Meyer
This paper is concerned with an optimization problem that is constrained by the Kantorovich optimal transportation problem. This bilevel optimization problem can be reformulated as…
math.NA2022
An Adaptive Time Stepping Scheme for Rate-Independent Systems with Non-Convex Energy
Merlin Andreia, Christian Meyer
We investigate a local incremental stationary scheme for the numerical solution of rate-independent systems. Such systems are characterized by a (possibly) non-convex energy and a…
math.OC2022
-Regularization of the Beckmann Problem
Dirk Lorenz, Hinrich Mahler, Christian Meyer
We investigate the problem of optimal transport in the so-called Beckmann form, i.e. given two Radon measures on a compact set, we seek an optimal flow field which is a vector valu…