一类含时Poisson-Nernst-Planck方程的时间自适应计算  

Time-Adaptive Computation for a Class of Time-Dependent Poisson-Nernst-Planck Equations

作　　者：韦鹏 沈瑞刚 WEI Peng;SHEN Ruigang(Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation,Guangxi Mathematics Applied Center(GUET),School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin 541004,Guangxi Zhuang Autonomous Region,China)

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西应用数学中心,广西高校数据分析与计算重点实验室,广西桂林541004

出　　处：《吉林大学学报（理学版）》2024年第6期1352-1358,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12101595,12161026);广西科技基地和人才专项基金(批准号:桂科AD23026048).

摘　　要：基于相邻时间步的时间自适应有限元方法求解一类含时Poisson-Nernst-Planc k(PNP)方程,以加速求解含有多种离子的二维PNP方程的长时间数值模拟效率.数值实验结果表明,该方法在两种数值格式下都可以有效加速计算,对于长时间PNP方程的数值计算有效.The time-adaptive finite element method based on adjacent time steps was used to solve a class of time-dependent Poisson-Nernst-Planck(PNP)equations,which accelerated the efficiency of long-term numerical simulations for solving two-dimensional PNP equations containing multiple ions.Numerical experimental results show that the method can effectively accelerate computations in both numerical formats and is effective for long-term numerical computation of PNP equations.

关 键 词：Poisson-Nernst-Planck方程 有限元方法 时间自适应 数值计算 

分 类 号：O241.82[理学—计算数学]