摘要
应用两网格有限元方法离散求解一类Poisson-Nernst-Planck(PNP)方程.通过两网格离散,将耦合PNP系统解耦成较小规模的线性对称系统,可有效降低计算复杂度.理论结果表明,线性对称化的两网格算法具有与传统有限元方法相同的误差阶;数值结果表明,相比于传统有限元方法,该方法计算效率更高.
A two-grid finite element method was used to solve a class of Poisson-Nernst-Planck (PNP) equations discretely. By the two-grid discretization, the coupled PNP system was decoupled into a small scale linear symmetric system, which could effectively reduce the computational complexity. The theoretical results show that the linear symmetry two-grid algorithm has the same error order as the traditional finite element method. The numerical results show that the method has higher computational efficiency than the traditional finite element method.
作者
唐鸣
阳莺
李雪芳
TANG Ming;YANG Ying;LI Xuefang(Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation,School of Mathematics and Computational Science,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
2019年第3期523-529,共7页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11561016
11661027
11561015)
广西高校数据分析与计算重点实验室开放基金
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
桂林电子科技大学研究生教育创新计划项目(批准号:2017YJCX83)