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calc_meshdata

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calc_meshdata

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24 Jul 2012 (Updated )

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

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Description

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.

Acknowledgements

Fast Assembly Of Stiffness And Matrices In Finite Element Method Using Nodal Elements, Inttet, and Read Tetgenmesh inspired this file.

This file inspired Fast Assembly Of Stiffness And Matrices In Finite Element Method Using Edge Elements.

Required Products Partial Differential Equation Toolbox
MATLAB
MATLAB release MATLAB 7.14 (R2012a)
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Updates
24 Jul 2012

The same in 3D too.

25 Mar 2014

Added a function giving 2d integration quadratures.

26 Sep 2014

Examples of vectorized calculation of integrals.

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