A Two-grid Method for Linearizing and Symmetrizing the Steady-state Poisson-Nernst-Planck Equations
For researchers solving Poisson-Nernst-Planck equations, this method offers a more efficient computational approach, though it is an incremental improvement.
The paper proposes a two-grid method to linearize and symmetrize the steady-state Poisson-Nernst-Planck equations, improving computational efficiency over the finite element method. Numerical results demonstrate effectiveness.
In this paper, a two-grid method is proposed to linearize and symmetrize the steady-state Poisson-Nernst-Planck equations. The computational system is decoupled to linearize and symmetrize equations by using this method, which can improve the computational efficiency compared with the finite element method. Error estimates are derived for the proposed method. The numerical results show that the two-grid method is effective.