The virtual element method in 50 lines of MATLAB

被引：63
作者：
Sutton, Oliver J. [1 ]
机构：
[1] Univ Leicester, Dept Math, Univ Rd, Leicester LE1 7RH, Leics, England
来源：
NUMERICAL ALGORITHMS | 2017年 / 75卷 / 04期
基金：
英国工程与自然科学研究理事会;
关键词：
Virtual element method; Polygonal meshes; MATLAB implementation; INTEGRATION; WRITTEN;
D O I：
10.1007/s11075-016-0235-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a 50-line MATLAB implementation of the lowest order virtual element method for the two-dimensional Poisson problem on general polygonal meshes. The matrix formulation of the method is discussed, along with the structure of the overall algorithm for computing with a virtual element method. The purpose of this software is primarily educational, to demonstrate how the key components of the method can be translated into code.
引用
收藏
页码：1141 / 1159
页数：19
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