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Session

OT3: Optimal Transport: Theory and Applications Location: G227 Session Chair: Stephan Eckstein Session Chair: Johannes Wiesel

Presentation 3

High-Resolution 3D Computations for the Rochet-Choné Problem Flavien Léger Inria, France The Rochet-Choné problem is a free boundary problem connected to optimal transport, under the constraint that the solution must be convex. A principal challenge for numerical methods is the phenomenon of "bunching," where the optimal gradient map collapses regions of positive Lebesgue measure onto lower-dimensional manifolds. We present a highly scalable numerical approach that achieves high-resolution simulations in 3D. Extensions to general interaction terms $b(x,y)$ are also discussed.