中文摘要：

为了快速求解非线性稳态Poisson—Nernst-Planck方程，提出一种线性化的两网格方法。利用粗网格空间上的解，将细网格空间上的原始方程转换成线性的方程，以提高Poisson-Nernst-Planck方程的计算效率。数值实验结果表明，该方法对于三维的Poisson—Nernst—Planck是有效的。

英文摘要：

In order to solve the nonlinear steady-state Poisson-Nernst-Planck equations rapidly, a linearized two-grid method is proposed. The original equations are linearized on the fine grid by the solution of the coarse space, thus the calculation speed of the algorithm can he improved. The numerical experiments show that the new method is effective for the three-di- mensional Poisson-Nernst-Planck equations.