A new MOX Report entitled “The Reduced Basis Multigrid scheme for the Virtual Element Method. ” by Antonietti, P.F.; Bertoluzza, S.; Credali, F. has appeared in the MOX Report Collection.
Check it out here: https://www.mate.polimi.it/biblioteca/add/qmox/73-2025.pdf
Abstract: We present a non-nested W-cycle multigrid scheme for the lowest order Virtual Element Method on polygonal meshes. To avoid the implicit definition of the Virtual Element space, which poses several issues in the computation of intergrid operators that underpin multigrid methods, the proposed scheme uses a fully-conforming auxiliary space constructed by cheaply computing the virtual basis functions via the reduced basis method.
