A multiscale approach with the Virtual Element Method: Towards a VE 2 setting

Abstract

A semi-concurrent multi scale approach for heterogeneous media discretized with the Virtual Element Method (VEM) is presented in this work. Extensive numerical results for both the linear diffusion and linear elasticity settings are performed to assess the quality of the discrete solution, highlighting the differences between a mesoscopic and a multiscale approach. The capabilities and advantages of using VEM in semi-concurrent multiscale analyses are demonstrated, especially when dealing with composite materials and inclusions.