Edges generation

Version 1.9.0.0 (2.94 MB) by Jan Valdman
Algorithm generates edges of a conforming 2D/3D triangulation.
3.0
(2)
2.5K Downloads
Updated 15 Sep 2016

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Given a conforming triangulation as as matrix of vertices numbers corresponding to each triangular element , the algorithm generates and numbers edges of triangulation, so that edges shared by two elements are counted only once. It also generates list of edges belonging to each triangle a list of elements sharing the same edge.
Knowledge of edges is useful e.g. for the implementation of adaptive mesh refinements and edge-based finite elements such as Raviart-Thomas, Crouzeix-Raviart or Nedelec elements.
To test the functionality of the algorithm, run "test.m".

Performance of my notebook:
2D triangulation: 524288 elements, 263169 nodes --> 787456 edges numbered. Time= 1.23 seconds.
3D triangulation: 196608 elements, 35937 nodes --> 238688 edges numbered. Time= 1.12 seconds.

Cite As

Jan Valdman (2024). Edges generation (https://www.mathworks.com/matlabcentral/fileexchange/22299-edges-generation), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2007b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired: Double porosity model

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Version Published Release Notes
1.9.0.0

Extended to 3D (many thanks to John D'Errico for his speed up advice)
test.m updated for better readability
1.7.0.0

better description
1.6.0.0

function entryInWhichRows added
1.5.0.0

description
1.2.0.0

better description, difference to other methods
1.1.0.0

updated description
1.0.0.0