Calculates the affine transformations for integration in 2D/3D via the unit triangle/tetrahedron.
Updated 26 Sep 2014

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Calculates the affine transformations needed for integration in 2D/3D via the unit reference triangle/tetrahedron. In 2D the function takes as its input the matrices p,e,t given by initmesh/poimesh (PDEtool toolbox), and calculates the affine transformations for each triangle simultaneously in a vectorized manner. In 3D we use Tetgen meshes.
With a 2009 MacBook Pro laptop, calculating the affine transformations for a mesh of 2 million triangles takes about 1.2 seconds.

We also demonstrate how to use this data to perform fast vectorized calculation of integral values over 2D and 3D meshes.

Cite As

Immanuel Anjam (2024). calc_meshdata (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2012a
Compatible with any release
Platform Compatibility
Windows macOS Linux

Inspired by: inttet, read_tetgenmesh

Inspired: Fast FEM assembly: edge elements

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Version Published Release Notes

Examples of vectorized calculation of integrals.

Added a function giving 2d integration quadratures.

The same in 3D too.