5 citations · 5 across the 1 of their papers we have counts for
3 papers
math.OC2020
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…
cond-mat.soft2019★ 5 cited
Controlling Fragment Competition on Pathways to Addressable Self-Assembly
Jim Madge, David Bourne, Mark A. Miller
Addressable self-assembly is the formation of a target structure from a set of unique molecular or colloidal building-blocks, each of which occupies a defined location in the targe…
math.OC2019
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…