21 citations · 47 across the 8 of their papers we have counts for
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math.NA2018★ 2 cited
Simulation of multiphase porous media flows with minimizing movement and finite volume schemes
Clément Cancès, Thomas O. Gallouët, Maxime Laborde +1
The Wasserstein gradient flow structure of the PDE system governing multiphase flows in porous media was recently highlighted in [C. Cancès, T. O. Gallouët, and L. Monsaingeon, {\i…
math.OC2018
Second order models for optimal transport and cubic splines on the Wasserstein space
Jean-David Benamou, Thomas Gallouët, François-Xavier Vialard
On the space of probability densities, we extend the Wasserstein geodesics to the case of higher-order interpolation such as cubic spline interpolation. After presenting the natura…