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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…
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…