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

 

Kaydedildi:
Detaylı Bibliyografya
Yazarlar: Herrera Garro, César, Corrales Barquero, Ricardo, Arroyo Esquivel, Jorge, Calvo Alpízar, Juan Gabriel
Materyal Türü: artículo preliminar
Yayın Tarihi:2021
Diğer Bilgiler: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.
Ülke:Kérwá
Kurum:Universidad de Costa Rica
Repositorio:Kérwá
Dil:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/84311
Online Erişim:https://hdl.handle.net/10669/84311
Anahtar Kelime:Virtual element methods
Polygonal mesh
Matlab implementation