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A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system

Mathematics of computation, 2021-09, Vol.90 (331), p.2071-2106

2021

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The Calculus of Boundary Variations and the Dielectric Boundary Force in the Poisson–Boltzmann Theory for Molecular Solvation

Journal of nonlinear science, 2021-12, Vol.31 (6), Article 89

2021

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Prediction of multiple dry–wet transition pathways with a mesoscale variational approach

The Journal of chemical physics, 2021-09, Vol.155 (12), p.124110-124110

2021

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Annealing effects on the microstructure and properties of an Fe-based Metallic-Intermetallic Laminate (MIL) composite

Materials science & engineering. A, Structural materials : properties, microstructure and processing, 2016-05, Vol.665, p.47-58

2016

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Second-order, positive, and unconditional energy dissipative scheme for modified Poisson–Nernst–Planck equations

Journal of computational physics, 2024-08, Vol.510, p.113094, Article 113094

2024

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Stochastic level-set variational implicit-solvent approach to solute-solvent interfacial fluctuations

The Journal of chemical physics, 2016-08, Vol.145 (5), p.054114-054114

2016

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A positive and energy stable numerical scheme for the Poisson–Nernst–Planck–Cahn–Hilliard equations with steric interactions

Journal of computational physics, 2021-02, Vol.426, p.109908, Article 109908

2021

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Structure-preserving and efficient numerical methods for ion transport

Journal of computational physics, 2020-10, Vol.418, p.109597, Article 109597

2020

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Positivity preserving finite difference methods for Poisson–Nernst–Planck equations with steric interactions: Application to slit-shaped nanopore conductance

Journal of computational physics, 2019-11, Vol.397, p.108864, Article 108864

2019

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Hybrid finite element and Brownian dynamics method for charged particles

The Journal of chemical physics, 2016-04, Vol.144 (16), p.164107-164107

2016

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Fast iterative method for local steric Poisson–Boltzmann theories in biomolecular solvation

Computer physics communications, 2023-10, Vol.291, p.108808, Article 108808

2023

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Asymptotic analysis on charging dynamics for stack-electrode model of supercapacitors

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2023-05, Vol.479 (2273)

2023

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Energetic variational approach for prediction of thermal electrokinetics in charging and discharging processes of electrical double layer capacitors

Journal of power sources, 2022-12, Vol.551, p.232184, Article 232184

2022

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Molecular insights into temperature oscillation of electric double-layer capacitors in charging–discharging cycles

Journal of power sources, 2023-03, Vol.559, p.232596, Article 232596

2023

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Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model

Journal of computational physics, 2023-02, Vol.475, p.111845, Article 111845

2023

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A conservative, free energy dissipating, and positivity preserving finite difference scheme for multi-dimensional nonlocal Fokker–Planck equation

Journal of computational physics, 2019-06, Vol.386, p.22-36

2019

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Local Structure-Preserving Relaxation Method for Equilibrium of Charged Systems on Unstructured Meshes

SIAM journal on scientific computing, 2024-08, Vol.46 (4), p.A2248-A2269

2024

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An unconditionally energy stable linear scheme for Poisson–Nernst–Planck equations

Journal of computational and applied mathematics, 2024-06, Vol.443, p.115759, Article 115759

2024

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Variational approach to concentration dependent dielectrics with the Bruggeman model: Theory and numerics

Communications in mathematical sciences, 2019, Vol.17 (7), p.1949-1974

2019

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A Maxwell–Ampère Nernst–Planck Framework for Modeling Charge Dynamics

SIAM journal on applied mathematics, 2023-01, Vol.83 (2), p.374-393

2023

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Convergence analysis of structure-preserving numerical methods based on Slotboom transformation for the Poisson–Nernst–Planck equations

Communications in mathematical sciences, 2023, Vol.21 (2), p.459-484

2023

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Structure-Preserving Numerical Methods for Nonlinear Fokker--Planck Equations with Nonlocal Interactions by an Energetic Variational Approach

SIAM journal on scientific computing, 2021-01, Vol.43 (1), p.B82-B107

2021

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An iteration solver for the Poisson–Nernst–Planck system and its convergence analysis

Journal of computational and applied mathematics, 2022-05, Vol.406, p.114017, Article 114017

2022

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Convergence analysis of structure‐preserving numerical methods for nonlinear Fokker–Planck equations with nonlocal interactions

Mathematical methods in the applied sciences, 2022-05, Vol.45 (7), p.3764-3781

2022

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A modified Poisson–Nernst–Planck model with excluded volume effect: theory and numerical implementation

Communications in mathematical sciences, 2018, Vol.16 (1), p.251-271

2018

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A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system

The Calculus of Boundary Variations and the Dielectric Boundary Force in the Poisson–Boltzmann Theory for Molecular Solvation

Prediction of multiple dry–wet transition pathways with a mesoscale variational approach

Annealing effects on the microstructure and properties of an Fe-based Metallic-Intermetallic Laminate (MIL) composite

Second-order, positive, and unconditional energy dissipative scheme for modified Poisson–Nernst–Planck equations

Stochastic level-set variational implicit-solvent approach to solute-solvent interfacial fluctuations

A positive and energy stable numerical scheme for the Poisson–Nernst–Planck–Cahn–Hilliard equations with steric interactions

Structure-preserving and efficient numerical methods for ion transport

Positivity preserving finite difference methods for Poisson–Nernst–Planck equations with steric interactions: Application to slit-shaped nanopore conductance

Hybrid finite element and Brownian dynamics method for charged particles

Fast iterative method for local steric Poisson–Boltzmann theories in biomolecular solvation

Asymptotic analysis on charging dynamics for stack-electrode model of supercapacitors

Energetic variational approach for prediction of thermal electrokinetics in charging and discharging processes of electrical double layer capacitors

Molecular insights into temperature oscillation of electric double-layer capacitors in charging–discharging cycles

Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model

A conservative, free energy dissipating, and positivity preserving finite difference scheme for multi-dimensional nonlocal Fokker–Planck equation

Local Structure-Preserving Relaxation Method for Equilibrium of Charged Systems on Unstructured Meshes

An unconditionally energy stable linear scheme for Poisson–Nernst–Planck equations

Variational approach to concentration dependent dielectrics with the Bruggeman model: Theory and numerics

A Maxwell–Ampère Nernst–Planck Framework for Modeling Charge Dynamics

Convergence analysis of structure-preserving numerical methods based on Slotboom transformation for the Poisson–Nernst–Planck equations

Structure-Preserving Numerical Methods for Nonlinear Fokker--Planck Equations with Nonlocal Interactions by an Energetic Variational Approach

An iteration solver for the Poisson–Nernst–Planck system and its convergence analysis

Convergence analysis of structure‐preserving numerical methods for nonlinear Fokker–Planck equations with nonlocal interactions

A modified Poisson–Nernst–Planck model with excluded volume effect: theory and numerical implementation

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