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Fingerprint Dive into the research topics where David Bourne is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Power Diagram Mathematics
Energy Mathematics
Block Copolymers Mathematics
Triangular Lattice Mathematics
Optimal Location Mathematics
Location Problem Mathematics
Particle System Mathematics
Hexagon Mathematics

Co Author Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Research Output 2014 2018

  • 6 Article
  • 1 Conference contribution

Controlling Fragment Competition on Pathways to Addressable Self-Assembly

Madge, J., Bourne, D. & Miller, M. A., 26 Sep 2018, In : Journal of Physical Chemistry B. 122, 42, p. 9815-9825 11 p.

Research output: Contribution to journalArticle


Ollivier–Ricci idleness functions of graphs

Bourne, D. P., Cushing, D., Liu, S., Münch, F. & Peyerimhoff, N., 19 Jun 2018, In : SIAM Journal on Discrete Mathematics. 32, 2, p. 1408-1424 17 p.

Research output: Contribution to journalArticle

Open Access
Graph in graph theory
Regular Graph
Cartesian product
Piecewise Linear

Energy Bounds for a Compressed Elastic Film on a Substrate

Bourne, D. P., Conti, S. & Müller, S., Apr 2017, In : Journal of Nonlinear Science. 27, 2, p. 453-494 42 p.

Research output: Contribution to journalArticle

Open Access

Folding patterns in partially delaminated thin films

Bourne, D., Conti, S. & Müller, S., 2016, Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems. Weinberg, K. & Pandolfi, A. (eds.). Springer, p. 25-39 15 p. (Lecture Notes in Applied and Computational Mechanics; vol. 81).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Thin films
Phase diagrams
Thermal expansion

Centroidal power diagrams, Lloyd's algorithm, and applications to optimal location problems

Bourne, D. P. & Roper, S. M., 5 Nov 2015, In : SIAM Journal on Numerical Analysis. 53, 6, p. 2545-2569 25 p.

Research output: Contribution to journalArticle

Open Access
Power Diagram
Optimal Location
Location Problem
Centroidal Voronoi Tessellations