7 citations · 10 across the 4 of their papers we have counts for
5 papers
Semi-discrete convex order and Laguerre tessellation fitting
David P. Bourne, Thomas Gallouët, Quentin Mérigot +1
Laguerre tessellations offer an efficient way to parameterize a large class of convex partitions of Euclidean space using only a set of points and scalar weights. For this reason,…
Polynomial diagrams for microstructure modelling
David P. Bourne, Maciej Buze, Thomas Gallouët +1
We formulate a framework of polynomial diagrams, which are a generalisation of power diagrams (PDs) and anisotropic power diagrams (APDs) allowing for boundaries between cells to b…
Regularity theory and geometry of unbalanced optimal transport
Thomas Gallouët, Roberta Ghezzi, François-Xavier Vialard
Using the dual formulation only, we show that the regularity of unbalanced optimal transport also called entropy-transport inherits from the regularity of standard optimal transpor…
Regularity of solutions of the Stein equation and rates in the multivariate central limit theorem
Thomas Gallouët, Guillaume Mijoule, Yvik Swan
Consider the multivariate Stein equation , where is a standard -dimensional Gaussian random vector, and let be the solution give…
The gradient flow structure for incompressible immiscible two-phase flows in porous media
Clément Cancès, Thomas O. Gallouët, Léonard Monsaingeon
We show that the widely used model governing the motion of two incompressible immiscible fluids in a possibly heterogeneous porous medium has a formal gradient flow structure. More…