摘要
针对一类三维Poisson-Nernst-Planck方程,给出一种边平均有限元离散形式.在适当的网格条件下,该离散形式得到的总刚度矩阵为M-矩阵,从而保证了数值解的非负性.数值实验结果表明,边平均有限元方法相比于标准有限元的CPU时间更短,且误差较小.
We gave a discretized form of edge-averaged finite element for a class of three-dimensional Poisson-Nernst-Planck equations.Under appropriate grid conditions,the total stiffness matrix obtained by the discrete form was an M-matrix,which ensured the non-negative properties of the numerical solution.The numerical experimental results show that compared with the standard finite element method,the edge-averaged finite element method has shorter CPU time and less error.
作者
倪宇晖
阳莺
NI Yuhui;YANG Ying(School of Mathematics and Computating Science,Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation,Guangxi Key Laboratory of Cryptograghy and Information Security,Guilin University of Electronic Technology,Guilin 541004,Guangxi Zhuang Autonomous Region,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2022年第1期73-78,共6页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:12161026)
广西自然科学基金(批准号:2020GXNSFAA159098,2017GXNSFFA198012,2020GXNSFBA238022)
广西高校数据分析与计算重点实验室开放基金(批准号:LD16070X)
湘潭大学科学工程计算与数值仿真湖南省重点实验室开放课题基金.
