A numerical implementation for the high-order 2D Virtual Element Method in MATLAB

 

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Autores: Herrera Garro, César, Corrales Barquero, Ricardo, Arroyo Esquivel, Jorge, Calvo Alpízar, Juan Gabriel
格式: artículo preliminar
Fecha de Publicación:2021
实物特征: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.
País:Kérwá
机构:Universidad de Costa Rica
Repositorio:Kérwá
语言:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/84311
在线阅读:https://hdl.handle.net/10669/84311
Palabra clave:Virtual element methods
Polygonal mesh
Matlab implementation