Edges generation

バージョン 1.9.0.0 (2.94 MB) 作成者: Jan Valdman
Algorithm generates edges of a conforming 2D/3D triangulation.
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更新 2016/9/15

ライセンスの表示

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.

引用

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

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バージョン 公開済み リリース ノート
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