Energy dissipative and positivity preserving schemes for large-convection ion transport with steric and solvation effects

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Parabolic equations and parabolic systems (35Kxx)

Cites Work

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A free energy satisfying finite difference method for Poisson-Nernst-Planck equations
A mathematical model for the hard sphere repulsion in ionic solutions
Energetically stable discretizations for charge transport and electrokinetic models
Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
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
A new approach to the Lennard-Jones potential and a new model: PNP-steric equations
Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure
Efficient, positive, and energy stable schemes for multi-d Poisson-Nernst-Planck systems
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations
A dynamic mass transport method for Poisson-Nernst-Planck equations
Structure-preserving and efficient numerical methods for ion transport
A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions
A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters
A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
A positivity preserving, energy stable finite difference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system
A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson-Nernst-Planck equations
Positivity preserving finite difference methods for Poisson-Nernst-Planck equations with steric interactions: application to slit-shaped nanopore conductance
Variational approach to concentration dependent dielectrics with the Bruggeman model: theory and numerics
A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model
Continuum electrostatics for ionic solutions with non-uniform ionic sizes
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
A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model
Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance
A Second-Order Accurate, Operator Splitting Scheme for Reaction-Diffusion Systems in an Energetic Variational Formulation
Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson--Nernst--Planck System
A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure
A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation
A Structure-Preserving JKO Scheme for the SizeModified Poisson-Nernst-Planck-Cahn-Hilliard Equations
Convergence analysis of structure-preserving numerical methods based on slotboom transformation for the Poisson-Nernst-Planck equations

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