A Decoupling Two-Grid Method for the Steady-State Poisson-Nernst-Planck Equations
Ying Yang, Benzhuo Lu, Yan Xie
TL;DR
This paper introduces two innovative two-grid finite element algorithms that effectively decouple and solve the steady-state Poisson-Nernst-Planck equations, demonstrating improved efficiency through theoretical analysis and numerical experiments.
Contribution
The paper proposes novel two-grid algorithms for decoupling the steady-state Poisson-Nernst-Planck equations, enhancing computational efficiency and accuracy.
Findings
Algorithms are theoretically validated.
Numerical experiments confirm efficiency.
Effective for biomolecular ion transport modeling.
Abstract
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.
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Taxonomy
TopicsFuel Cells and Related Materials · Nanopore and Nanochannel Transport Studies · Advancements in Semiconductor Devices and Circuit Design