The nonconforming virtual element method

Blanca Ayuso de Dios, Konstantin Lipnikov, Gianmarco Manzini

Research output: Contribution to journalArticlepeer-review

175 Scopus citations


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. Numerical experiments verify the theory and validate the performance of the proposed method.
Original languageEnglish (US)
Pages (from-to)879-904
Number of pages26
JournalESAIM: Mathematical Modelling and Numerical Analysis
Issue number3
StatePublished - May 23 2016
Externally publishedYes

ASJC Scopus subject areas

  • Modeling and Simulation
  • Analysis
  • Applied Mathematics
  • Mathematics(all)
  • Numerical Analysis


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