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Finite Elements and Virtual Elements on Classical Meshes

Vietnam Journal of Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Franco Brezzi, Luisa Donatella Marini
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BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS

Mathematical Models and Methods in Applied Sciences, 2012
We 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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Virtual Elements for Linear Elasticity Problems

SIAM Journal on Numerical Analysis, 2013
We discuss the application of virtual elements to linear elasticity problems, for both the compressible and the nearly incompressible case. Virtual elements are very close to mimetic finite differences (see, for linear elasticity, [L. Beirão da Veiga, M2AN Math. Model. Numer. Anal., 44 (2010), pp.
L. Beirao da Veiga   +2 more
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