SUPG-stabilized stabilization-free VEM: a numerical investigation

Abstract

We numerically investigate the possibility of defining Stabilization-Free Virtual Element discretizations–i.e., Virtual Element Method discretizations without an additional non-polynomial non-operator-preserving stabilization term–of advection-diffusion problems in the advection-dominated regime, considering a Streamline Upwind Petrov-Galerkin stabilized formulation of the scheme. We present numerical tests that assess the robustness of the proposed scheme and compare it with a standard Virtual Element Method.

Keywords

• virtual element methods
• stabilization
• streamline upwind petrov-galerkin
• advection-diffusion
• numerical tests