The virtual element method for a minimal surface problem

被引：0
|
作者：
Paola Francesca Antonietti
Silvia Bertoluzza
Daniele Prada
Marco Verani
机构：
[1] Politecnico di Milano,MOX, Dipartimento di Matematica
[2] Istituto di Matematica Applicata e Tecnologie Informatiche - CNR,undefined
来源：
Calcolo | 2020年 / 57卷
关键词：
Virtual element method; Minimal surface problem; Quasi-linear elliptic PDEs; 65N12; 65N30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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