A Priori Error Estimate of Nonconforming Virtual Element Method for Convection Dominated Diffusion Equation

Abstract

In this paper, a priori error estimate of the nonconforming virtual element method with Streamline Upwind/Petrov-Galerkin (SUPG) stabilization for convection dominated diffusion equation is discussed. The discrete scheme of the nonconforming virtual element method is constructed and a priori error estimate is derived with a norm containing jump term. Numerical experiments verify the a priori error estimate in a set of polygonal meshes.