On the choice of the internal degrees of freedom for the nodal virtual element method in two dimensions

DOI10.1016/J.CAMWA.2016.03.016zbMath1359.65266OpenAlexW2317734184MaRDI QIDQ521827

Alessandro Russo

Publication date: 12 April 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.03.016

zbMATH Keywords

finite element methodvirtual element method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

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High-order interpolatory serendipity virtual element method for semilinear parabolic problems ⋮ NURBS Enhanced Virtual Element Methods for the Spatial Discretization of the Multigroup Neutron Diffusion Equation on Curvilinear Polygonal Meshes ⋮ A brief review on polygonal/polyhedral finite element methods ⋮ Bricks for the mixed high-order virtual element method: projectors and differential operators ⋮ Finite elements in flow problems 2015 ⋮ Nonconforming virtual element method for \(2m\)th order partial differential equations in \(\mathbb{R}^n\) with \(m>n\) ⋮ A Cell-Based Smoothed Finite Element Method for Arbitrary Polygonal Element to Solve Incompressible Laminar Flow

Cites Work

• Equivalent projectors for virtual element methods
• Serendipity nodal VEM spaces
• Virtual Element Method for general second-order elliptic problems on polygonal meshes
• Mixed virtual element methods for general second order elliptic problems on polygonal meshes
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• The Hitchhiker's Guide to the Virtual Element Method

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