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Virtual Element Method: Micro-Mechanics Applications
Key Engineering Materials, 2019In this contribution we present an application of the lowest order Virtual Element Method (VEM) to the problem of material computational homogenization. Material homogenization allows retrieving material properties through suitable volume averaging procedures, starting from a detailed representation of the micro-constituents of the considered material.
Marco Lo Cascio +2 more
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A virtual element method for contact
Computational Mechanics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wriggers, P., Rust, W. T., Reddy, B. D.
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Virtual element method for the Sobolev equations
Mathematical Methods in the Applied Sciences, 2022The virtual element method for the Sobolev equations is proposed in this paper, where the semi‐discrete scheme and the fully discrete scheme are both discussed. With the help of the energy projection operator defined by the discrete bilinear form, the corresponding optimal error estimates in the norm and semi‐norm for both the semi‐discrete ...
Buying Zhang, Jikun Zhao, Shaochun Chen
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Shape optimization with virtual element method
Communications in Nonlinear Science and Numerical SimulationzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng, Fang, Yang, Hui, Zhu, Shengfeng
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Virtual Element and Discontinuous Galerkin Methods
2013Virtual element methods (VEM) are the latest evolution of the Mimetic Finite Difference Method and can be considered to be more close to the Finite Element approach. They combine the ductility of mimetic finite differences for dealing with rather weird element geometries with the simplicity of implementation of Finite Elements.
F Brezzi, LD Marini
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A Novel Polygonal Finite Element Method: Virtual Node Method
AIP Conference Proceedings, 2010Polygonal finite element method (PFEM), which can construct shape functions on polygonal elements, provides greater flexibility in mesh generation. However, the non‐polynomial form of traditional PFEM, such as Wachspress method and Mean Value method, leads to inexact numerical integration. Since the integration technique for non‐polynomial functions is
X. H. Tang +6 more
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Virtual Element and Discontinuous Galerkin Methods
2014Virtual element methods (VEM) are the latest evolution of the Mimetic Finite Difference Method and can be considered to be more close to the Finite Element approach. They combine the ductility of mimetic finite differences for dealing with rather weird element geometries with the simplicity of implementation of Finite Elements.
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Virtual Element Methods for Engineering Applications
2022Peter Wriggers +2 more
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A virtual element method for the miscible displacement of incompressible fluids in porous media
Computer Methods in Applied Mechanics and Engineering, 2021Alexander Pichler, Giuseppe Vacca
exaly

