52 citations · 97 across the 7 of their papers we have counts for
8 papers
Genetic column generation: Fast computation of high-dimensional multi-marginal optimal transport problems
Gero Friesecke, Andreas S. Schulz, Daniela Vögler
We introduce a simple, accurate, and extremely efficient method for numerically solving the multi-marginal optimal transport (MMOT) problems arising in density functional theory. T…
Modelling of hydro-mechanical processes in heterogeneous fracture intersections using a fictitious domain method with variational transfer operators
Cyrill von Planta, Daniel Vogler, Xiaoqing Chen +3
Fluid flow in rough fractures and the coupling with the mechanical behaviour of the fractures pose great difficulties for numerical modeling approaches, due to complex fracture sur…
3D non-conforming mesh model for flow in fractured porous media using Lagrange multipliers
Philipp Schädle, Patrick Zulian, Daniel Vogler +5
This work presents a modeling approach for single-phase flow in 3D fractured porous media with non-conforming meshes. To this end, a Lagrange multiplier method is combined with a p…
Geometry of Kantorovich Polytopes and Support of Optimizers for Repulsive Multi-Marginal Optimal Transport on Finite State Spaces
Daniela Vögler
We consider symmetric multi-marginal Kantorovich optimal transport problems on finite state spaces with uniform-marginal constraint. These problems consist of minimizing a linear o…
Simulation of hydro-mechanically coupled processes in rough rock fractures using an immersed boundary method and variational transfer operators
Cyrill von Planta, Daniel Vogler, Xiaoqing Chen +3
Hydro-mechanical processes in rough fractures are highly non-linear and govern productivity and associated risks in a wide range of reservoir engineering problems. To enable high-r…
Contact between rough rock surfaces using a dual mortar method
Cyrill von Planta, Daniel Vogler, Patrick Zulian +2
The mechanical behavior of fractures in solids, such as rocks, has strong implications for reservoir engineering applications. Deformations, and the corresponding change in solid c…