TL;DR
This paper provides a concise MATLAB implementation of the virtual element method for 2D Poisson problems, aimed at education and demonstrating the method's core computational steps.
Contribution
It introduces a minimal, 50-line MATLAB code for the virtual element method, making the technique accessible and understandable for learners.
Findings
Efficient implementation of VEM in MATLAB
Educational tool for understanding VEM components
Simplified code structure for polygonal meshes
Abstract
We present a 50-line MATLAB implementation of the lowest order virtual element method for the two-dimensional Poisson problem on general polygonal meshes. The matrix formulation of the method is discussed, along with the structure of the overall algorithm for computing with a virtual element method. The purpose of this software is primarily educational, to demonstrate how the key components of the method can be translated into code.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Code & Models
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
