In this paper we consider the Virtual Element discretization of a minimal surface problem, a quasi-linear elliptic partial differential equation modeling the problem of minimizing the area of a surface subject to a prescribed boundary condition. We derive optimal error estimate and present several numerical tests assessing the validity of the theoretical results.
@article{arxiv.1912.09627,
title = {The Virtual Element Method for a Minimal Surface Problem},
author = {Paola Francesca Antonietti and Silvia Bertoluzza and Daniele Prada and Marco Verani},
journal= {arXiv preprint arXiv:1912.09627},
year = {2019}
}