A numerical implementation for the high-order 2D Virtual Element Method in MATLAB
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Fecha
2021
Tipo
artículo preliminar
Autores
Herrera Garro, César
Corrales Barquero, Ricardo
Arroyo Esquivel, Jorge
Calvo Alpízar, Juan Gabriel
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Resumen
We present a numerical implementation for the Virtual Element Method that in-
corporates high order spaces. We include all the required computations in order to assemble the
stiffness and mass matrices, and right hand side. Convergence of method is verified for different
polygonal partitions. An specific mesh-free application that allows to approximate harmonic func-
tions is discussed, based on high-order projections. This approach significantly improves running
times compared to usual finite or virtual element methods, and can be modified for different virtual
spaces and elliptic partial differential equations.
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Palabras clave
Virtual element methods, Polygonal mesh, Matlab implementation