论文标题
MVEM：用于虚拟元素方法的MATLAB软件包
mVEM: A MATLAB Software Package for the Virtual Element Methods
论文作者
论文摘要
本文总结了MVEM的开发，MVEM是一种MATLAB软件包，其中包含文献中发表的各种虚拟元素方法（VEM）的高效且易于遵循的代码。我们详细解释了Darcy问题的混合VEM的数值实现和泊松方程的三维线性VEM。对于其他模型问题，我们介绍离散方法的构建，仅提供椭圆形矩阵的实现。包装中还提供了一些与网格相关的功能，包括两个或三个维度的网格生成和完善。 MVEM是免费的开源软件。
This paper summarizes the development of mVEM, a MATLAB software package containing efficient and easy-following codes for various virtual element methods (VEMs) published in the literature. We explain in detail the numerical implementation of the mixed VEMs for the Darcy problem and the three-dimensional linear VEMs for the Poisson equation. For other model problems, we present the construction of the discrete methods and only provide the implementation of the elliptic projection matrices. Some mesh related functions are also given in the package, including the mesh generation and refinement in two or three dimensions. mVEM is free and open source software.
