The nonconforming virtual element method
نویسندگان
چکیده
منابع مشابه
Conforming and Nonconforming Virtual Element Methods for Elliptic Problems
We present, in a unified framework, new conforming and nonconforming Virtual Element Methods (VEM) for general second order elliptic problems in two and three dimensions. The differential operator is split into its symmetric and non-symmetric parts and conditions for stability and accuracy on their discrete counterparts are established. These conditions are shown to lead to optimal H1and L2-err...
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The Nonconforming Spectral Element Method (NSEM) solves PDEs in complex geometries with high accuracy, however, it is an expensive method. Since parallel computation is eeective in decreasing CPU time, a parallel algorithm for the NSEM is presented. Implementations on SGI Power Challenge using MPI are evaluated in terms of measured speedup and parallel eeciency for schemes of one element and mu...
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In this paper we extend the recently introduced edge stabilization method to the case of nonconforming finite element approximations of the linearized Navier-Stokes equation. To get stability also in the convective dominated regime we add a term giving L2-control of the jump in the gradient over element boundaries. An a priori error estimate that is uniform in the Reynolds number is proved and ...
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ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2016
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/2015090