43 citations · 103 across the 13 of their papers we have counts for
4 papers · 1 filter
Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport
D. P. Bourne, M. Pearce, S. M. Roper
In this paper we describe a fast algorithm for generating periodic RVEs of polycrystalline materials. In particular, we use the damped Newton method from semi-discrete optimal tran…
Asymptotic optimality of the triangular lattice for a class of optimal location problems
David P. Bourne, Riccardo Cristoferi
We prove an asymptotic crystallization result in two dimensions for a class of nonlocal particle systems. To be precise, we consider the best approximation with respect to the 2-Wa…
Laguerre tessellations and polycrystalline microstructures: A fast algorithm for generating grains of given volumes
D. P. Bourne, P. J. J. Kok, S. M. Roper +1
We present a fast algorithm for generating Laguerre diagrams with cells of given volumes, which can be used for creating RVEs of polycrystalline materials for computational homogen…
Semi-discrete unbalanced optimal transport and quantization
David P. Bourne, Bernhard Schmitzer, Benedikt Wirth
In this paper we study the class of optimal entropy-transport problems introduced by Liero, Mielke and Savaré in Inventiones Mathematicae 211 in 2018. This class of unbalanced tran…