Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (6): 1352-1358.

Previous Articles     Next Articles

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

WEI Peng, SHEN Ruigang   

  1. 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
  • Received:2024-05-21 Online:2024-11-26 Published:2024-11-26

Abstract: 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.

Key words: Poisson-Nernst-Planck equation, finite element method, time-adaptive, numerical computation

CLC Number: 

  • O241.82