The virtual element method for a minimal surface problem

DOI10.1007/S10092-020-00388-0zbMATH Open1471.65191arXiv1912.09627OpenAlexW3095551474MaRDI QIDQ831271

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Publication date: 11 May 2021

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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.

Full work available at URL: https://arxiv.org/abs/1912.09627

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