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

DOI10.1016/j.jcp.2022.111845OpenAlexW4313215439MaRDI QIDQ2683058

Yanyan Li

Publication date: 3 February 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.11743

zbMATH Keywords

energy dissipationPoisson-Nernst-Planck equationspositivity preservingconvection dominated problemlocal curl-free algorithmMaxwell-Ampère Nernst-Planck equations

Mathematics Subject Classification ID

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) General topics in partial differential equations (35Axx)

Related Items (3)

An energy-conserving Fourier particle-in-cell method with asymptotic-preserving preconditioner for Vlasov-Ampère system with exact curl-free constraint ⋮ A conservative hybrid deep learning method for Maxwell-Ampère-Nernst-Planck equations ⋮ Energy dissipative and positivity preserving schemes for large-convection ion transport with steric and solvation effects

Cites Work

• Unnamed Item
• A free energy satisfying finite difference method for Poisson-Nernst-Planck equations
• Energetically stable discretizations for charge transport and electrokinetic models
• 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
• Efficient, positive, and energy stable schemes for multi-d Poisson-Nernst-Planck systems
• 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 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
• New Poisson–Boltzmann type equations: one-dimensional solutions
• Modified Poisson--Nernst--Planck Model with Accurate Coulomb Correlation in Variable Media
• A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
• Modified Poisson--Nernst--Planck Model with Coulomb and Hard-sphere Correlations
• Field Model for Complex Ionic Fluids: Analytical Properties and Numerical Investigation
• The charge conserving Poisson-Boltzmann equations: Existence, uniqueness, and maximum principle

This page was built for publication: Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model