arXiv:1405.3741 Abstract | arXiv Analytics

arXiv:1405.3741 [math.NA]Abstract References Reviews Resources

The nonconforming virtual element method

B. Ayuso de Dios, K. Lipnikov, G. Manzini

Published 2014-05-15, updated 2014-05-16Version 2

We introduce the nonconforming Virtual Element Method (VEM) for the approximation of second order elliptic problems. We present the construction of the new element in two and three dimensions, highlighting the main differences with the conforming VEM and the classical nonconforming finite element methods. We provide the error analysis and establish the equivalence with a family of mimetic finite difference methods.

Comments: 22 pages, 20 figures

Categories: math.NA

Subjects: 65N30, 65N12, 65G99

Keywords: nonconforming virtual element method, mimetic finite difference methods, second order elliptic problems, classical nonconforming finite element methods, error analysis

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