Programming of linear virtual element methods in three dimensions
Yue Yu
TL;DR
This paper introduces an educational MATLAB implementation of the linear virtual element method for solving the 3D Poisson equation, emphasizing clarity and simplicity in coding the method's key components.
Contribution
It provides a straightforward MATLAB code example for the 3D virtual element method, aiding understanding and implementation for educational purposes.
Findings
The implementation effectively solves the 3D Poisson equation.
The code demonstrates the key steps of the virtual element method.
It serves as a teaching tool for numerical methods in three dimensions.
Abstract
We present a simple and efficient MATLAB implementation of the linear virtual element method for the three dimensional Poisson equation. The purpose of this software is primarily educational, to demonstrate how the key components of the method can be translated into code.
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Taxonomy
TopicsAdvanced Numerical Methods in Computational Mathematics · Numerical methods for differential equations · Electromagnetic Simulation and Numerical Methods