An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis
type: Item
instance of: scholarly article
title: An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis
zbMATH Open document ID: 1503.65177
author: Chun Liu
author: C. Wang
author: Shenggao Zhou
author: Steven Wise
author: Xingye Yue
published in: Journal of Computational and Applied Mathematics
publication date: 2022-02-11T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K35
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7472440
zbMATH Keywords: Poisson-Nernst-Planck (PNP) system
zbMATH Keywords: logarithmic energy potential
zbMATH Keywords: positivity preserving
zbMATH Keywords: optimal rate convergence analysis
zbMATH Keywords: modified Newton iteration
zbMATH Keywords: linear convergence rate
MaRDI profile type: Publication
full work available at URL: j.cam.2021.114017
OpenAlex ID: W4200510484
cites work: Nonlinear Smoluchowski slip velocity and micro-vortex generation
cites work: Adiabatic relaxation of convective-diffusive gas transport in a porous fuel cell electrode
cites work: A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
cites work: Positivity preserving finite difference methods for Poisson-Nernst-Planck equations with steric interactions: application to slit-shaped nanopore conductance
cites work: Structure-preserving and efficient numerical methods for ion transport
cites work: A positivity preserving and free energy dissipative difference scheme for the Poisson-Nernst-Planck system
cites work: A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson-Nernst-Planck equations
cites work: A free energy satisfying finite difference method for Poisson-Nernst-Planck equations
cites work: Efficient, positive, and energy stable schemes for multi-d Poisson-Nernst-Planck systems
cites work: Unconditional Positivity-Preserving and Energy StableSchemesforaReducedPoisson-Nernst-Planck System
cites work: A modified Poisson-Nernst-Planck model with excluded volume effect: theory and numerical implementation
cites work: A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson-Nernst-Planck systems
cites work: Energetically stable discretizations for charge transport and electrokinetic models
cites work: Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson--Nernst--Planck System
cites work: Linearized conservative finite element methods for the Nernst-Planck-Poisson equations
cites work: Convergent discretizations for the Nernst-Planck-Poisson system
cites work: Error analysis of finite element method for Poisson-Nernst-Planck equations
cites work: An energy preserving finite difference scheme for the Poisson-Nernst-Planck system
cites work: A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids
cites work: A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions
cites work: Modeling and simulating asymmetrical conductance changes in gramicidin pores
cites work: A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy
cites work: A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters
cites work: A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters
cites work: A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
cites work: A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system
cites work: An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels
cites work: Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model
cites work: An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation
cites work: An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
cites work: Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations
cites work: An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
DOI: 10.1016/J.CAM.2021.114017
Recommended article: Convergent discretizations for the Nernst-Planck-Poisson system
Recommended article: Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson--Nernst--Planck System
Recommended article: A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
Recommended article: A second order accurate, positivity preserving numerical method for the Poisson-Nernst-Planck system and its convergence analysis
Recommended article: Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system
Recommended article: An energy preserving finite difference scheme for the Poisson-Nernst-Planck system
Recommended article: Convergence analysis of structure-preserving numerical methods based on slotboom transformation for the Poisson-Nernst-Planck equations
Recommended article: Numerical investigation of homogenized Stokes-Nernst-Planck-Poisson systems
Recommended article: Q2997431
Recommended article: A multigrid method for the Poisson-Nernst-Planck equations
description: scientific article; zbMATH DE number 7472440