Fast FEM assembly: nodal elements

Version 1.17.0.0 (813 KB) by Jan Valdman
Vectorized assembly of FEM matrices.
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4.9K Downloads
Updated 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"

Cite As

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

MATLAB Release Compatibility
Created with R2014b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
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fast_fem_assembly

fast_fem_assembly/library_vectorization

Version Published Release Notes
1.17.0.0

Description simplified, 'stifness' changed to 'stiffness'.

1.16.0.0

Title and summary update.
1.15.0.0

P1 coefficients for mass matrices (both 2D and 3D) added
1.14.0.0

P0 coefficients added to assemblies of mass matrices in both 2D and 3D
new functionality added: elementwise constant coefficients
1.13.0.0

paper info completed
1.12.0.0

improved description
1.11.0.0

Q1 assembly in 3D for linear elasticity added thanks to Tien Dat Ngo.

1.10.0.0

Paper information added
1.4.0.0

report link add, extended to work for linear elasticity
1.3.0.0

tested for both linux and windows
1.2.0.0

added start_calculate_areas
1.1.0.0

2D functionality added
1.0.0.0