Research Output per year

## 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

## 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 journal › Article

Thermodynamics

## 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 journal › Article

Open Access

File

Graph in graph theory

Regular Graph

Cartesian product

Piecewise Linear

Curvature

## 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 journal › Article

Open Access

Substrate

Substrates

Energy

Delamination

Folding

## 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 proceeding › Conference contribution

Thin films

Substrates

Phase diagrams

Thermal expansion

Compaction

## 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 journal › Article

Open Access

File

Power Diagram

Optimal Location

Location Problem

Centroidal Voronoi Tessellations

Energy