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The Virtual Element Method in 50 lines of MATLAB

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.

preprint2016arXivOpen access
Oliver J. Sutton
math.NA
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Oliver J. Sutton

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