The Virtual Element Method for a Minimal Surface Problem

Code:
57/2019
Title:
The Virtual Element Method for a Minimal Surface Problem
Date:
Monday 30th December 2019
Author(s):
Antonietti, P.F.; Bertoluzza, S.; Prada, D.; Verani M.
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Abstract:
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.