This article reviews the use of first order convex optimization schemes to solve the
discretized dynamic optimal transport problem, initially proposed by Benamou and Brenier …

A new model order reduction approach is proposed for parametric steady‐state nonlinear
fluid flows characterized by shocks and discontinuities whose spatial locations and …

Classical model reduction techniques approximate the solution of a physical model by a
limited number of global modes. These modes are usually determined by variants of …

Optimal Transport is a well developed mathematical theory that defines robust metrics
between probability distributions. The computation of optimal displacements between …

This paper presents a multiscale approach to efficiently compute approximate optimal
transport plans between point sets. It is particularly well-suited for point sets that are in high …

The problem of optimal transport between two distributions ρ (x) and μ (y) is extended to
situations where the distributions are only known through a finite number of samples {xi} and …

We present a method to simulate the flow past bioinspired swimmers starting from pictures of
an actual fish. The overall approach requires i) a skeleton graph generation to get a level-set …

Optimal transportation theory is a powerful tool to deal with image interpolation. This was
first investigated by [Benamou and Brenier, Numer. Math. 84 (2000) 375–393.] where an …

In this paper a two-stage optimization model is studied to find the optimal location of new
facilities and the optimal partition of the consumers (location-allocation problem). The social …

We review a few applications of reduced-order modeling in aeronautics and medicine. The
common idea is to determine an empirical approximation space for a model described by …