Structure-preserving and efficient numerical methods for ion transport
From MaRDI portal
Publication:2124554
DOI10.1016/j.jcp.2020.109597OpenAlexW3028812938MaRDI QIDQ2124554
Zhongming Wang, Jie Ding, Shenggao Zhou
Publication date: 11 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.09563
Related Items (9)
A Structure-Preserving JKO Scheme for the SizeModified Poisson-Nernst-Planck-Cahn-Hilliard Equations ⋮ A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions ⋮ Positivity-preserving third order DG schemes for Poisson-Nernst-Planck equations ⋮ Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model ⋮ Error estimates for the finite element method of the Navier-Stokes-Poisson-Nernst-Planck equations ⋮ Convergence analysis of structure‐preserving numerical methods for nonlinear Fokker–Planck equations with nonlocal interactions ⋮ Energy dissipative and positivity preserving schemes for large-convection ion transport with steric and solvation effects ⋮ An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis ⋮ A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
Cites Work
- Unnamed Item
- Unnamed Item
- A local approximation of fundamental measure theory incorporated into three dimensional Poisson-Nernst-Planck equations to account for hard sphere repulsion among ions
- An unconditionally energy stable finite difference scheme for a stochastic Cahn-Hilliard equation
- A free energy satisfying finite difference method for Poisson-Nernst-Planck equations
- A mathematical model for the hard sphere repulsion in ionic solutions
- Second-order Poisson-Nernst-Planck solver for ion transport
- A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids
- Energetically stable discretizations for charge transport and electrokinetic models
- Convergent discretizations for the Nernst-Planck-Poisson system
- On the basic equations for carrier transport in semiconductors
- Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems
- A linearized local conservative mixed finite element method for Poisson-Nernst-Planck equations
- A modified Poisson-Nernst-Planck model with excluded volume effect: theory and numerical implementation
- A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson-Nernst-Planck systems
- Global solutions of the time-dependent drift-diffusion semiconductor equations
- A new approach to the Lennard-Jones potential and a new model: PNP-steric equations
- A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson-Nernst-Planck equations
- A conservative, free energy dissipating, and positivity preserving finite difference scheme for multi-dimensional nonlocal Fokker-Planck equation
- Positivity preserving finite difference methods for Poisson-Nernst-Planck equations with steric interactions: application to slit-shaped nanopore conductance
- Linearized conservative finite element methods for the Nernst-Planck-Poisson equations
- Analysis of the local discontinuous Galerkin method for the drift-diffusion model of semiconductor devices
- Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions
- On large time asymptotics for drift-diffusion-poisson systems
- Ionic size effects: generalized Boltzmann distributions, counterion stratification and modified Debye length
- An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models
- Modified Poisson--Nernst--Planck Model with Accurate Coulomb Correlation in Variable Media
- The Debye system: existence and large time behavior of solutions
- On the Discretization of van Roosbroeck's Equations with Magnetic Field
- Asymptotic Analysis on Dielectric Boundary Effects of Modified Poisson--Nernst--Planck Equations
- Analysis of the Mean Field Free Energy Functional of Electrolyte Solution with Nonhomogenous Boundary Conditions and the Generalized PB/PNP Equations with Inhomogeneous Dielectric Permittivity
- Computational Study on Hysteresis of Ion Channels: Multiple Solutions to Steady-State Poisson-Nernst-Planck Equations
- Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson--Nernst--Planck System
- A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore
- Numerical Solution of 3D Poisson-Nernst-Planck Equations Coupled with Classical Density Functional Theory for Modeling Ion and Electron Transport in a Confined Environment
- Asymptotic behavior of the drift-diffusion semiconductor equations
- Error analysis of finite element method for Poisson-Nernst-Planck equations
This page was built for publication: Structure-preserving and efficient numerical methods for ion transport
