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01-12-2020 | Issue 4/2020

Calcolo 4/2020

The virtual element method for a minimal surface problem

Journal:
Calcolo > Issue 4/2020
Authors:
Paola Francesca Antonietti, Silvia Bertoluzza, Daniele Prada, Marco Verani
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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 an optimal error estimate and present several numerical tests assessing the validity of the theoretical results.

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