mVEM: A MATLAB Software Package for the Virtual Element Methods
Numerical Analysis
2022-04-05 v1 Mathematical Software
Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2204.01339,
title = {mVEM: A MATLAB Software Package for the Virtual Element Methods},
author = {Yue Yu},
journal= {arXiv preprint arXiv:2204.01339},
year = {2022}
}
Comments
mVEM