The Nonconforming Virtual Element Method with Curved Edges

期刊论文
发表日期：

2024年3月11日

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Lourenço Beirão da Veiga,
Yi Liu,
Lorenzo Mascotto,
Alessandro Russo

摘要

We introduce a nonconforming virtual element method for the Poisson problem on domains with fixed curved boundary and internal interfaces. We prove arbitrary order optimal convergence in the energy and $L^2$ $L^{2}$ norms, and assess the theoretical results with numerical experiments. The proposed scheme has the upside that it can be designed and analyzed in any dimension.