3 papers
math.NA2023
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…
math.OC2022
Bilevel Optimization of the Kantorovich Problem and its Quadratic Regularization Part I: Existence Results
Sebastian Hillbrecht, Christian Meyer
This paper is concerned with an optimization problem governed by the Kantorovich optimal transportation problem. This gives rise to a bilevel optimization problem, which can be ref…
math.OC2014
Strong stationarity conditions for a class of optimization problems governed by variational inequalities of the 2nd kind
Juan-Carlos De Los Reyes, Christian Meyer
We investigate optimality conditions for optimization problems constrained by a class of variational inequalities of the second kind. Based on a nonsmooth primal-dual reformulation…