2D Fast Vectorized Finite Element Method

Version 1.1 (185 KB) by Jan Kaska
Fast vectorized assembly of 2D finite element matrices and load vector using linear basis functions and triangular mesh.
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Updated 11 Jan 2022
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A simple algorithm for vectorized assembly of matrices for 2D finite element methods using linear basis functions and triangular mesh. The algorithm is able to work with Dirichlet, Neumann and general Robin boundary conditions. A simple code for testing the algorithm is attached. The code is programmed for the Poisson's equation:
The entire code is commented for easier orientation and editing. I will be glad for any feedback and possible improvements to the algorithm.

Cite As

Jan Kaska (2026). 2D Fast Vectorized Finite Element Method (https://github.com/kaskaj/MatlabFEM/releases/tag/1.1), GitHub. Retrieved .

MATLAB Release Compatibility
Created with R2021b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.1

See release notes for this release on GitHub: https://github.com/kaskaj/MatlabFEM/releases/tag/1.1
1.0

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.