D. Bourne, M. Peletier, F. Theil:
Optimality of the triangular lattice for a particle system with Wasserstein interaction
Communications in Mathematical Physics Vol. 329, N. 1, p. 117-140, 2014

D. Bourne, M. Peletier, S. Roper:
Hexagonal patterns in a simplified model for block copolymers
SIAM Journal on Applied Mathematics Vol. 74, N. 5, p. 1315-1337, 2014

D. Bourne, S. Roper:
Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems
SIAM Journal on Numerical Analysis Vol. 53, N. 6, p. 2545-2569, 2015

D. Bourne, S. Conti, S. Müller:
Folding patterns in partially delaminated thin films
Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems, A. Pandolfi and K. Weinberg (eds.), Springer Vol. 81, p. 25-39, 2016

D. Bourne, S. Conti, S. Müller:
Energy Bounds for a Compressed Elastic Film on a Substrate
Journal of Nonlinear Science Vol. 27, N. 2, p. 453-494, 2017

D. Bourne, D. Cushing, S. Liu, F. Münch, N. Peyerimhoff:
Ollivier-Ricci idleness functions of graphs
SIAM Journal on Discrete Mathematics Vol. 32, N. 2, p. 1408-1424, 2018

D. Bourne, B. Schmitzer, B. Wirth:
Semi-discrete unbalanced optimal transport and quantization
(Submitted Paper) 2018

D. Bourne, P. J. J. Kok, S. M. Roper, W. D. T. Spanjer:
Laguerre tessellations and polycrystalline microstructures: A fast  algorithm for generating grains of given volumes
Philosophical Magazine Vol. 100, N. 21, p. 2677-2707, 2020

D. Bourne, R. Cristoferi:
Asymptotic optimality of the triangular lattice for a class of optimal location problems
Communications in Mathematical Physics Vol. 387, p. 1549-1602, 2021

D. Bourne, C. Egan, B. Pelloni, M. Wilkinson:
Semi-discrete optimal transport methods for the semi-geostrophic equations
Calculus of Variations and Partial Differential Equations Vol. 61, 2022

D. Bourne, C. Cotter, M. Cullen, C. Egan, B. Pelloni, S. Roper, M. Wilkinson:
A new implementation of the geometric method for solving the Eady slice equations
Journal of Computational Physics Vol. 469, p. 111542, 2022

D. Bourne, M. Pearce, S. Roper:
Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport
Mechanics Research Communications Vol. 127, p. 104023, 2023

D. Bourne, M. Buze, J. Feydy, S. Roper, K. Sedighiani:
Anisotropic power diagrams for polycrystal modelling: Efficient generation of curved grains via optimal transport
(Submitted Paper) 2024