The virtual element method in 50 lines of MATLAB

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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.

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Sutton, O. J. (2017). The virtual element method in 50 lines of MATLAB. Numerical Algorithms, 75(4), 1141–1159. https://doi.org/10.1007/s11075-016-0235-3

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