A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS

• 来源期刊: 计算数学（英文版）
• 关键词: Poisson-Nernst-Planck equations Two-grid finite element method Decoupling method Error analysis Gummel iteration
• 年，卷（期）: 2019,（4）
• 页码范围: 556-578
• 页数: 23页
• 语种: 英文
• DOI: 10.4208/jcm.1904-m2018-0181

摘要

Poisson-Nernst-Planck equations are widely used to describe the electrodiffusion of ions in a solvated biomolecular system.Two kinds of two-grid finite element algorithms are proposed to decouple the steady-state Poisson-Nernst-Planck equations by coarse grid finite element approximations.Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the two-grid algorithms for solving Poisson-Nernst-Planck equations.