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Some Estimates for Virtual Element Methods
Computational Methods in Applied Mathematics, 2017Abstract We present novel techniques for obtaining the basic estimates of virtual element methods in terms of the shape regularity of polygonal/polyhedral meshes. We also derive new error estimates for the Poisson problem in two and three dimensions.
Brenner, Susanne C. +2 more
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Virtual Element Methods for plate bending problems
Computer Methods in Applied Mechanics and Engineering, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F Brezzi, LD Marini
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Equivalent projectors for virtual element methods
Computers & Mathematics with Applications, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
B Ahmad +4 more
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Conforming Virtual Element Methods for Sobolev Equations
Journal of Scientific Computing, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang Xu, Zhenguo Zhou, Jingjun Zhao
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BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
Mathematical Models and Methods in Applied Sciences, 2012We present, on the simplest possible case, what we consider as the very basic features of the (brand new) virtual element method. As the readers will easily recognize, the virtual element method could easily be regarded as the ultimate evolution of the mimetic finite differences approach.
L Beirao da Veiga +5 more
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The Hitchhiker's Guide to the Virtual Element Method
Mathematical Models and Methods in Applied Sciences, 2014We present the essential ingredients in the Virtual Element Method for a simple linear elliptic second-order problem. We emphasize its computer implementation, which will enable interested readers to readily implement the method.
L Beirao da Veiga +3 more
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