Fast FEM assembly: nodal elements

Version 1.17.0.0 (813 KB) von Jan Valdman

Vectorized assembly of FEM matrices.

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Aktualisiert 4. Aug 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"

Zitieren als

Jan Valdman (2025). Fast FEM assembly: nodal elements (https://www.mathworks.com/matlabcentral/fileexchange/27826-fast-fem-assembly-nodal-elements), MATLAB Central File Exchange. Abgerufen16. Februar 2025.

Kompatibilität der MATLAB-Version

Erstellt mit R2014b

Kompatibel mit allen Versionen

Plattform-Kompatibilität

Windows macOS Linux

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Quellenangaben

Inspiriert: 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	Veröffentlicht	Versionshinweise
1.17.0.0	4. Aug 2018	Description simplified, 'stifness' changed to 'stiffness'.	Herunterladen
1.16.0.0	3. Aug 2018	Title and summary update.	Herunterladen
1.15.0.0	27. Okt 2016	P1 coefficients for mass matrices (both 2D and 3D) added	Herunterladen
1.14.0.0	23. Okt 2016	P0 coefficients added to assemblies of mass matrices in both 2D and 3D new functionality added: elementwise constant coefficients	Herunterladen
1.13.0.0	7. Mär 2015	paper info completed	Herunterladen
1.12.0.0	16. Mai 2014	improved description	Herunterladen
1.11.0.0	17. Dez 2013	Q1 assembly in 3D for linear elasticity added thanks to Tien Dat Ngo.	Herunterladen
1.10.0.0	19. Mär 2013	Paper information added	Herunterladen
1.4.0.0	2. Mär 2011	report link add, extended to work for linear elasticity	Herunterladen
1.3.0.0	17. Feb 2011	tested for both linux and windows	Herunterladen
1.2.0.0	16. Sep 2010	added start_calculate_areas	Herunterladen
1.1.0.0	10. Jul 2010	2D functionality added	Herunterladen
1.0.0.0	3. Jun 2010		Herunterladen