A Nonconforming Virtual Element Method for Advection-Diffusion-Reaction Problems with CIP Stabilization
Numerical Analysis
2024-07-19 v2 Numerical Analysis
Abstract
We study a nonconforming virtual element method (VEM) for advection-diffusion-reaction problems with continuous interior penalty (CIP) stabilization. The design of the method is based on a standard variational formulation of the problem (no skew-symmetrization), and boundary conditions are imposed with a Nitsche technique. We use the enhanced version of VEM, with a ``DoFi-DoFi'' stabilization in the diffusion and reaction terms. We prove stability of the proposed method and derive -version error estimates.
Cite
@article{arxiv.2407.00612,
title = {A Nonconforming Virtual Element Method for Advection-Diffusion-Reaction Problems with CIP Stabilization},
author = {Carlo Lovadina and Ilaria Perugia and Manuel Trezzi},
journal= {arXiv preprint arXiv:2407.00612},
year = {2024}
}