SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis

The objective of this contribution is to develop a convergence analysis for SUPG-stabilized Virtual Element Methods in diffusion-convection problems that robust also the convection dominated regime. For original method introduced [Benedetto et al. , CMAME 2016] we are able show an “almost uniform” error bound (in sense unique term depends unfavourable way on parameters damped by higher order mesh-size multiplicative factor). We introduce novel discretization allows us estimates fully cases. finally present some numerical result.