A numerical implementation for the high-order 2D virtual element method in MATLAB

DOI10.1007/s11075-022-01361-4OpenAlexW4283763988MaRDI QIDQ2699996

César Herrera, Jorge Arroyo-Esquivel, Ricardo Corrales-Barquero, Juan G. Calvo

Publication date: 20 April 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-022-01361-4

zbMATH Keywords

polygonal meshvirtual element methodsMATLAB implementationnodal elliptic problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Algorithms for approximation of functions (65D15) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

Related Items (1)

VEM

Uses Software

• Matlab
• iFEM
• VoronoiLimit
• VEMLab

Cites Work

• Equivalent projectors for virtual element methods
• Virtual element methods for plate bending problems
• FETI-DP preconditioners for the virtual element method on general 2D meshes
• A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem
• A virtual element method for the miscible displacement of incompressible fluids in porous media
• Auxiliary space preconditioners for linear virtual element method
• Curvilinear virtual elements for 2D solid mechanics applications
• An overlapping Schwarz method for virtual element discretizations in two dimensions
• The virtual element method for resistive magnetohydrodynamics
• The virtual element method in 50 lines of MATLAB
• Virtual Elements for Linear Elasticity Problems
• Basic principles of hp virtual elements on quasiuniform meshes
• On the approximation of a virtual coarse space for domain decomposition methods in two dimensions
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• Conforming and nonconforming virtual element methods for a Kirchhoff plate contact problem
• The Hitchhiker's Guide to the Virtual Element Method
• A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
• Calculation of Gauss Quadrature Rules

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