Fast FEM assembly: nodal elements

Version 1.17.0.0 (813 ko) par Jan Valdman

Vectorized assembly of FEM matrices.

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Mise à jour 4 août 2018

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This code demonstrates vectorization concepts from the paper:

Talal Rahman and Jan Valdman: Fast MATLAB assembly of FEM matrices in 2D and 3D: nodal elements, Applied Mathematics and Computation 219, 7151–7158 (2013).

A link to the paper can be found at the author web page located at http://sites.google.com/site/janvaldman/publications

Please cite the paper if you find the code useful.

Available scripts from the paper:

"start_compute_areas"

"start_assembly_P1_2D"

"start_assembly_P1_3D"

"start_assembly_P1_2D_elasticity"

"start_assembly_P1_3D_elasticity"

Additional script (provided by Tien Dat Ngo from EFPL Lausanne):

"start_assembly_Q1_3D_elasticity"

Citation pour cette source

Jan Valdman (2024). Fast FEM assembly: nodal elements (https://www.mathworks.com/matlabcentral/fileexchange/27826-fast-fem-assembly-nodal-elements), MATLAB Central File Exchange. Récupéré le avril 26, 2024.

Compatibilité avec les versions de MATLAB

Créé avec R2014b

Compatible avec toutes les versions

Plateformes compatibles

Windows macOS Linux

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Remerciements

A inspiré : Fast FEM evaluation of nonlinear energies: hp elements, p-Laplace equation solver using 1D, 2D FEM, Element-based Solvers, Fast FEM evaluation of nonlinear energies: nodal elements, Fast FEM assembly: edge elements, Evolutionary model for shape memory alloys, Hyper elasticity with a non-penetration condition , Implementation of C1 FEM, Simulation of von Kármán viscoelastic plates, Linear elasticity with a non-penetration surface condition, Efficient vectorization techniques for FEM evaluations, Hierarchical hp FEM on rectangles in 2D

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fast_fem_assembly

fast_fem_assembly/library_vectorization

Version	Publié le	Notes de version
1.17.0.0	4 août 2018	Description simplified, 'stifness' changed to 'stiffness'.	Télécharger
1.16.0.0	3 août 2018	Title and summary update.	Télécharger
1.15.0.0	27 oct. 2016	P1 coefficients for mass matrices (both 2D and 3D) added	Télécharger
1.14.0.0	23 oct. 2016	P0 coefficients added to assemblies of mass matrices in both 2D and 3D new functionality added: elementwise constant coefficients	Télécharger
1.13.0.0	7 mars 2015	paper info completed	Télécharger
1.12.0.0	16 mai 2014	improved description	Télécharger
1.11.0.0	17 déc. 2013	Q1 assembly in 3D for linear elasticity added thanks to Tien Dat Ngo.	Télécharger
1.10.0.0	19 mars 2013	Paper information added	Télécharger
1.4.0.0	2 mars 2011	report link add, extended to work for linear elasticity	Télécharger
1.3.0.0	17 fév. 2011	tested for both linux and windows	Télécharger
1.2.0.0	16 sept. 2010	added start_calculate_areas	Télécharger
1.1.0.0	10 juil. 2010	2D functionality added	Télécharger
1.0.0.0	3 juin 2010		Télécharger