The Virtual Element Method in 50 lines of MATLAB
Provides an accessible educational tool for researchers and students learning the virtual element method, but is incremental as it focuses on implementation rather than advancing the method.
The authors present a 50-line MATLAB implementation of the lowest order virtual element method for the 2D Poisson problem on polygonal meshes, aimed at educational demonstration of the method's key components.
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.