2000 character limit reached
A Nonconforming Virtual Element Method for Advection-Diffusion-Reaction Problems with CIP Stabilization (2407.00612v2)
Published 30 Jun 2024 in math.NA and cs.NA
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 $h$-version error estimates.