Fast FEM assembly: edge elements

Versione 1.2.0.0 (80,4 KB) da Jan Valdman

Vectorized assembly of FEM matrices.

Segui

5.0

(7)

2,7K download

Aggiornato 3 ago 2018

Visualizza la licenza

This code demonstrates vectorization concepts from the the paper

Immanuel Anjam, Jan Valdman: Fast MATLAB assembly of FEM matrices in 2D and 3D: Edge elements. Applied Mathematics and Computation 267, 252–263 (2015)

We extended techniques 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)

to a fast assembly of FEM matrices using edge elements - Raviart-Thomas elements for Hdiv problems and Nedelec elements for Hcurl problems. In addition, vectorized higher order quadratures were added.

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.

To compare the assembly times, call
"start_2D" or "start_3D" in the "example_comparison" directory.

You can also call
"start_2D" or "start_3D" in "example_majorant" and "example_eddycurrect" directories
to obtain solution of the functional majorant minimization in Hdiv space and a solution of a eddy current problem in Hcurl space.

Cita come

Jan Valdman (2024). Fast FEM assembly: edge elements (https://www.mathworks.com/matlabcentral/fileexchange/46635-fast-fem-assembly-edge-elements), MATLAB Central File Exchange. Recuperato luglio 27, 2024.

Compatibilità della release di MATLAB

Creato con R2012b

Compatibile con qualsiasi release

Compatibilità della piattaforma

Windows macOS Linux

Categorie

Verification, Validation, and Test >

Scopri di più su Verification, Validation, and Test in Help Center e MATLAB Answers

Tag Aggiungi tag

Riconoscimenti

Ispirato da: Fast FEM assembly: nodal elements, inttet, calc_meshdata

Ispirato: Continuum undergoing combined elasto-plasto-damage transformation., Fast FEM evaluation of nonlinear energies: hp elements, p-Laplace equation solver using 1D, 2D FEM, Fast-Implementation-Mixed-FEM, Fast FEM evaluation of nonlinear energies: nodal elements, Hyper elasticity with a non-penetration condition , Implementation of C1 FEM, Simulation of von Kármán viscoelastic plates, Efficient vectorization techniques for FEM evaluations, Hierarchical hp FEM on rectangles in 2D

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

software/debug

software/example_comparison

software/example_eddycurrent

software/example_eddycurrent/test2D_1

software/example_eddycurrent/test2D_2

software/example_eddycurrent/test2D_3

software/example_eddycurrent/test3D_1

software/example_eddycurrent/test3D_2

software/example_majorant

software/example_majorant/test2D

software/example_majorant/test3D

software/path

software/path/library_fem

software/path/library_integration

software/path/library_vectorization

Versione	Pubblicato	Note della release
1.2.0.0	3 ago 2018	Title a summary updated.	Scarica
1.1.0.0	30 ott 2015	New code version, description updated with a link to arxiv version of the explaining paper. New feature added: piecewise constant coefficients in FEM matrices. New feature added: piecewise constant coefficients in FEM matrices. New feature added: piecewise constant coefficients in FEM matrices. New feature added: piecewise constant coefficients in FEM matrices.	Zip Toolbox
1.0.0.0	16 mag 2014		Scarica