The Virtual Element Method in 50 lines of MATLAB

2016/04/20 by Sutton, Oliver J. · 2 citations
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1604.06021

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.

Cited by

• Coarse spaces for virtual element methods on irregular 3D subdomain decompositions
• CutVEM: Conforming virtual element method on embedded domains with shape-agnostic element agglomeration

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