Barycentric coodinates based Quadratic Serendipity shape function

Version 1.0.0.0 (4,99 ko) par HoBeom
This function produce Quadratic serendipity shape function using barycentric coodinate.
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Mise à jour 3 oct. 2016

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This function produce Quadratic serendipity shape function using barycentric coodinate.
The procedure for this shape function is proposed at 'Mathematics of computation, 2014, vol.83, no.290, pp2691-2716' Alexander Rand, et al.
They proposed this scheme for arbitrary polygon. And the generalized barycentric coordinate is used.
Especially, two type of Barycentric coodinates are fulfilled, Wachspress coordinate & Mean value coodinate.
There are 6 m-files in attached zip file.
- get_val_shape_fn_barycen.m : main function
- get_val_lambda.m : subfunction for calculating 'lambda'
- get_val_mu.m : subfunction for calculating 'mu (lambda * lambda)'
- get_val_xi.m : subfunction for calculating 'xi (extract some function to get serendipity family)'
- get_val_phi.m : subfunction for calculating 'phi (some modification for xi)'
- get_coord_vicinity_ab.m : subfurction for 'get_val_xi.m'

Citation pour cette source

HoBeom (2026). Barycentric coodinates based Quadratic Serendipity shape function (https://fr.mathworks.com/matlabcentral/fileexchange/59405-barycentric-coodinates-based-quadratic-serendipity-shape-function), MATLAB Central File Exchange. Extrait(e) le .

Compatibilité avec les versions de MATLAB
Créé avec R2014b
Compatible avec toutes les versions
Plateformes compatibles
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Inspiré par : barycentric Coordinates

Version Publié le Notes de version
1.0.0.0