We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
THE NONCONFORMING VIRTUAL ELEMENT METHOD.
- Authors
DE DIOS, BLANCA AYUSO; LIPNIKOV, KONSTANTIN; MANZINI, GIANMARCO
- Abstract
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.
- Subjects
FINITE element method; APPROXIMATION theory; ELLIPTIC differential equations; NUMERICAL analysis; CONFORMITY; MATHEMATICAL models
- Publication
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2016, Vol 50, Issue 3, p879
- ISSN
2822-7840
- Publication type
Article
- DOI
10.1051/m2an/2015090