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The virtual element method for a minimal surface problem

verfasst von: Paola Francesca Antonietti, Silvia Bertoluzza, Daniele Prada, Marco Verani

Erschienen in: Calcolo | Ausgabe 4/2020

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.

Vorheriger Artikel Linearized symmetric multi-block ADMM with indefinite proximal regularization and optimal proximal parameter

Nächster Artikel Some improved Ky Fan type eigenvalue inclusion sets for tensors

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Titel: The virtual element method for a minimal surface problem
verfasst von: Paola Francesca Antonietti
Silvia Bertoluzza
Daniele Prada
Marco Verani
Publikationsdatum: 01.12.2020
Verlag: Springer International Publishing
Erschienen in: Calcolo / Ausgabe 4/2020
Print ISSN: 0008-0624
Elektronische ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-020-00388-0

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