76 citations · 106 across the 15 of their papers we have counts for
18 papers
No-gap second-order conditions for optimization problems involving transport distances
Nicolas Borchard, Christian Meyer, Gerd Wachsmuth
We consider optimization problems in the space of measures. As a regularization term, the problem includes the transport distance to a given prior measure. For the derivation of se…
On a Lack of Stability of Parametrized BV Solutions to Rate-Independent Systems with Non-Convex Energies and Discontinuous Loads
Merlin Andreia, Christian Meyer
We consider a rate-independent system with nonconvex energy under discontinuous external loading. The underlying space is finite dimensional and the loads are functions in $BV([0,T…
Finite Element Approximation of Data-Driven Problems in Conductivity
Christian Meyer, Annika Müller
This paper is concerned with the finite element discretization of the data driven approach according to arXiv:1510.04232 for the solution of PDEs with a material law arising from m…
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…
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…
Parabolic optimal control problems with combinatorial switching constraints -- Part II: Outer approximation algorithm
Christoph Buchheim, Alexandra Grütering, Christian Meyer
We consider optimal control problems for partial differential equations where the controls take binary values but vary over the time horizon, they can thus be seen as dynamic switc…