We present a reduced basis method for cheaply constructing (possibly rough) approximations to the nodal basis functions of the virtual element space, and propose to use such approximations for the design of the stabilization term in the virtual element method and for the post-processing of the solution.
@article{arxiv.2310.00625,
title = {Reduced basis stabilization and post-processing for the virtual element method},
author = {Fabio Credali and Silvia Bertoluzza and Daniele Prada},
journal= {arXiv preprint arXiv:2310.00625},
year = {2024}
}