1.
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Adaptive and iterative methods for simulations of nanopores with the PNP–Stokes equations

Journal of computational physics, ISSN 0021-9991, 06/2017, Volume 338, pp. 452 - 476

We present a 3D finite element solver for the nonlinear Poisson–Nernst–Planck (PNP) equations for electrodiffusion, coupled to the Stokes system of fluid dynamics...

Electrophoresis | Stokes | Nanopore | Goal-oriented adaptivity | Poisson–Nernst–Planck | ALGORITHM | ELECTROOSMOTIC FLOW | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODELS | ALPHA-HEMOLYSIN | DNA | DYNAMICS | Poisson-Nernst-Planck | TRANSPORT-EQUATION | SELECTIVITY | PERMEATION | Models | Sensors | Fluid dynamics | Analysis | Methods

Electrophoresis | Stokes | Nanopore | Goal-oriented adaptivity | Poisson–Nernst–Planck | ALGORITHM | ELECTROOSMOTIC FLOW | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODELS | ALPHA-HEMOLYSIN | DNA | DYNAMICS | Poisson-Nernst-Planck | TRANSPORT-EQUATION | SELECTIVITY | PERMEATION | Models | Sensors | Fluid dynamics | Analysis | Methods

Journal Article

Journal of computational physics, ISSN 0021-9991, 2010, Volume 229, Issue 19, pp. 6979 - 6994

...–Nernst–Planck (PNP) equations with singular permanent charges for simulating electrodiffusion in solvated biomolecular systems...

Molecular surface | Poisson–Nernst–Planck equations | Electrodiffusion | Conditioning | Boundary condition | Finite element | Singular charges | Poisson-Nernst-Planck equations | NUMERICAL-METHODS | APPROXIMATION | ION-TRANSPORT | MODEL | BOLTZMANN EQUATION | PHYSICS, MATHEMATICAL | MOLECULES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ACETYLCHOLINESTERASE | PARTIAL-DIFFERENTIAL-EQUATIONS | SYSTEMS | ELECTROSTATICS | Finite element method | Solvents | Computer simulation | Mathematical analysis | Biomolecules | Mathematical models | Electrostatics | DIFFERENTIAL EQUATIONS | NUMERICAL SOLUTION | APPROXIMATIONS | CALCULATION METHODS | EQUATIONS | POISSON EQUATION | FINITE ELEMENT METHOD | BOUNDARY CONDITIONS | MATHEMATICAL SOLUTIONS | NONLINEAR PROBLEMS | PARTIAL DIFFERENTIAL EQUATIONS | CHARGED PARTICLES | MATRICES | NEWTON METHOD | ITERATIVE METHODS | MATHEMATICAL METHODS AND COMPUTING

Molecular surface | Poisson–Nernst–Planck equations | Electrodiffusion | Conditioning | Boundary condition | Finite element | Singular charges | Poisson-Nernst-Planck equations | NUMERICAL-METHODS | APPROXIMATION | ION-TRANSPORT | MODEL | BOLTZMANN EQUATION | PHYSICS, MATHEMATICAL | MOLECULES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ACETYLCHOLINESTERASE | PARTIAL-DIFFERENTIAL-EQUATIONS | SYSTEMS | ELECTROSTATICS | Finite element method | Solvents | Computer simulation | Mathematical analysis | Biomolecules | Mathematical models | Electrostatics | DIFFERENTIAL EQUATIONS | NUMERICAL SOLUTION | APPROXIMATIONS | CALCULATION METHODS | EQUATIONS | POISSON EQUATION | FINITE ELEMENT METHOD | BOUNDARY CONDITIONS | MATHEMATICAL SOLUTIONS | NONLINEAR PROBLEMS | PARTIAL DIFFERENTIAL EQUATIONS | CHARGED PARTICLES | MATRICES | NEWTON METHOD | ITERATIVE METHODS | MATHEMATICAL METHODS AND COMPUTING

Journal Article

Journal of computational and applied mathematics, ISSN 0377-0427, 08/2016, Volume 301, pp. 28 - 43

...–Planck equations, and for the first time, we obtain its optimal error estimates in L∞(H1) and L2(H1) norms, and suboptimal error estimates in L...

Finite element method | Full discretization | A priori error estimates | Semi-discretization | Crank–Nicolson scheme | Poisson–Nernst–Planck equations | Poisson-Nernst-Planck equations | Crank-Nicolson scheme | MATHEMATICS, APPLIED | ASYMPTOTIC ANALYSIS | TRANSPORT | ION CHANNELS | GRAMICIDIN | PERMEATION | Analysis | Methods | Error analysis | Approximation | Mathematical analysis | Norms | Mathematical models | Estimates | Optimization | a priori error estimates

Finite element method | Full discretization | A priori error estimates | Semi-discretization | Crank–Nicolson scheme | Poisson–Nernst–Planck equations | Poisson-Nernst-Planck equations | Crank-Nicolson scheme | MATHEMATICS, APPLIED | ASYMPTOTIC ANALYSIS | TRANSPORT | ION CHANNELS | GRAMICIDIN | PERMEATION | Analysis | Methods | Error analysis | Approximation | Mathematical analysis | Norms | Mathematical models | Estimates | Optimization | a priori error estimates

Journal Article

Chemical physics, ISSN 0301-0104, 03/2018, Volume 502, pp. 39 - 49

...–Planck equations without assuming charge neutrality. In weak electrolytes, only a small fraction of molecules is ionized in bulk...

Kuramoto length | Photo-catalytic water splitting reaction | Debye length | Poisson–Nernst–Planck equations | SEMICONDUCTING PHOTOELECTRODES | STEADY-STATES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | Poisson-Nernst-Planck equations | EXTERNAL ELECTRIC-FIELD | PARTICULATE PHOTOCATALYST SHEETS | SPATIAL CORRELATIONS | PURE-WATER | IONIC TRANSPORT | NONEQUILIBRIUM SYSTEMS | CHEMICAL-SYSTEMS | EXCHANGE MEMBRANES | Physics - Soft Condensed Matter

Kuramoto length | Photo-catalytic water splitting reaction | Debye length | Poisson–Nernst–Planck equations | SEMICONDUCTING PHOTOELECTRODES | STEADY-STATES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | Poisson-Nernst-Planck equations | EXTERNAL ELECTRIC-FIELD | PARTICULATE PHOTOCATALYST SHEETS | SPATIAL CORRELATIONS | PURE-WATER | IONIC TRANSPORT | NONEQUILIBRIUM SYSTEMS | CHEMICAL-SYSTEMS | EXCHANGE MEMBRANES | Physics - Soft Condensed Matter

Journal Article

SIAM journal on scientific computing, ISSN 1095-7197, 2018, Volume 40, Issue 3, pp. B982 - B1006

A Newton solver for equations modeling drift-diffusion and electrokinetic phenomena is investigated...

Finite elements | Stability analysis | Poisson–Nernst–Planck | Numerical solvers | MATHEMATICS, APPLIED | APPROXIMATIONS | stability analysis | STABILITY | ION | numerical solvers | STOKES | SCHEME | TRANSPORT | FINITE-ELEMENT DISCRETIZATIONS | Poisson-Nernst-Planck | SYSTEMS | PRECONDITIONER | FLOWS | finite elements | Mathematics

Finite elements | Stability analysis | Poisson–Nernst–Planck | Numerical solvers | MATHEMATICS, APPLIED | APPROXIMATIONS | stability analysis | STABILITY | ION | numerical solvers | STOKES | SCHEME | TRANSPORT | FINITE-ELEMENT DISCRETIZATIONS | Poisson-Nernst-Planck | SYSTEMS | PRECONDITIONER | FLOWS | finite elements | Mathematics

Journal Article

The journal of physical chemistry. B, ISSN 1520-6106, 09/2012, Volume 116, Issue 37, pp. 11422 - 11441

...) model of ionic solutions. This approach allows the derivation of self-consistent (Euler–Lagrange) equations to describe the flow of spheres through channels...

SINGLE-CHANNEL | MOLECULAR-DYNAMICS | OMPF PORIN | CHEMISTRY, PHYSICAL | SODIUM-CALCIUM EXCHANGE | STEADY-STATE | ELECTROSTATIC FREE-ENERGY | SYMMETRICAL ELECTROLYTES | DENSITY-FUNCTIONAL THEORY | MONTE-CARLO SIMULATIONS | POISSON-NERNST-PLANCK | Thermodynamics | Biological Transport, Active | Ion Channels - metabolism | Models, Chemical | Models, Biological | Computer Simulation | Models, Molecular | Protein Conformation | Ion Transport | Ions - metabolism | Ion Channels - chemistry | Lagrange equations | Thermal properties | Monte Carlo method | Electronic structure | Usage | Analysis | Chemical properties | Atomic structure | Electron-electron interactions | Sodium compounds | Enzymes | Sodium | Computer simulation | Interaction parameters | Mathematical analysis | Mathematical models | Channels

SINGLE-CHANNEL | MOLECULAR-DYNAMICS | OMPF PORIN | CHEMISTRY, PHYSICAL | SODIUM-CALCIUM EXCHANGE | STEADY-STATE | ELECTROSTATIC FREE-ENERGY | SYMMETRICAL ELECTROLYTES | DENSITY-FUNCTIONAL THEORY | MONTE-CARLO SIMULATIONS | POISSON-NERNST-PLANCK | Thermodynamics | Biological Transport, Active | Ion Channels - metabolism | Models, Chemical | Models, Biological | Computer Simulation | Models, Molecular | Protein Conformation | Ion Transport | Ions - metabolism | Ion Channels - chemistry | Lagrange equations | Thermal properties | Monte Carlo method | Electronic structure | Usage | Analysis | Chemical properties | Atomic structure | Electron-electron interactions | Sodium compounds | Enzymes | Sodium | Computer simulation | Interaction parameters | Mathematical analysis | Mathematical models | Channels

Journal Article

Journal of computational electronics, ISSN 1572-8137, 2013, Volume 13, Issue 1, pp. 235 - 249

...–Nernst–Planck (PNP) equations. In this paper, we develop a finite-difference method for solving PNP equations, second-order accurate in both space and time...

Engineering | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Poisson–Nernst–Planck equations | Optical and Electronic Materials | Finite difference | Ion channel modeling | Electrodiffusion | Mechanical Engineering | Electrical Engineering | Poisson-Nernst-Planck equations | INCOMPRESSIBLE-FLOW | PHYSICS, APPLIED | CHANNEL | MODEL | SIMULATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Ion concentration | Numerical analysis | Mathematical analysis | Conservation | Mathematical models | Ion channels | Iterative methods | Finite difference method

Engineering | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Poisson–Nernst–Planck equations | Optical and Electronic Materials | Finite difference | Ion channel modeling | Electrodiffusion | Mechanical Engineering | Electrical Engineering | Poisson-Nernst-Planck equations | INCOMPRESSIBLE-FLOW | PHYSICS, APPLIED | CHANNEL | MODEL | SIMULATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Ion concentration | Numerical analysis | Mathematical analysis | Conservation | Mathematical models | Ion channels | Iterative methods | Finite difference method

Journal Article

International journal of heat and mass transfer, ISSN 0017-9310, 2009, Volume 52, Issue 17, pp. 4031 - 4039

A computational technique for solving the Poisson–Nernst–Planck (PNP) equations is developed which overcomes the poor convergence rates of commonly used algorithms...

Computational method | Finite volume | Ion channel | Multigrid | Poisson–Nernst–Planck equations | Poisson-Nernst-Planck equations | ENERGY | ION-TRANSPORT | ALGORITHM | GRAMICIDIN | FLOW | ENGINEERING, MECHANICAL | ITERATIVE SCHEME | MECHANICS | THERMODYNAMICS | CHANNEL | Algorithms | Automobile driving | Mechanical engineering | Methods | Motor vehicle driving

Computational method | Finite volume | Ion channel | Multigrid | Poisson–Nernst–Planck equations | Poisson-Nernst-Planck equations | ENERGY | ION-TRANSPORT | ALGORITHM | GRAMICIDIN | FLOW | ENGINEERING, MECHANICAL | ITERATIVE SCHEME | MECHANICS | THERMODYNAMICS | CHANNEL | Algorithms | Automobile driving | Mechanical engineering | Methods | Motor vehicle driving

Journal Article

9.
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Analytical solution of the Poisson–Nernst–Planck–Stokes equations in a cylindrical channel

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, ISSN 1471-2946, 2011, Volume 467, Issue 2135, pp. 3157 - 3169

.... The flow of protons and water is described by Poisson—Nernst—Planck equations, coupled to Stokes flow, while negative charges, situated along the walls, maintain electro-neutrality...

Protons | Experimental data | Conductivity | Electrolytes | Polymers | Diffusion coefficient | Permittivity | Electric fields | Mathematical expressions | Pressure gradients | Polymer electrolyte membranes | Poisson-Nernst-Planck equations | Analytical solution | Cylindrical channel | Stokes flow | DIELECTRIC SATURATION | TRANSPORT | MULTIDISCIPLINARY SCIENCES | HYDRATED NAFION(R) | analytical solution | PROTON | cylindrical channel | FLOW | polymer electrolyte membranes | WATER

Protons | Experimental data | Conductivity | Electrolytes | Polymers | Diffusion coefficient | Permittivity | Electric fields | Mathematical expressions | Pressure gradients | Polymer electrolyte membranes | Poisson-Nernst-Planck equations | Analytical solution | Cylindrical channel | Stokes flow | DIELECTRIC SATURATION | TRANSPORT | MULTIDISCIPLINARY SCIENCES | HYDRATED NAFION(R) | analytical solution | PROTON | cylindrical channel | FLOW | polymer electrolyte membranes | WATER

Journal Article

Applicable Analysis, ISSN 0003-6811, 12/2016, Volume 95, Issue 12, pp. 2661 - 2682

A nonlinear Poisson-Boltzmann equation with inhomogeneous Robin type boundary conditions at the interface between two materials is investigated...

Boltzmann statistics | Robin condition | nonlinear Poisson equation | error corrector | oscillating coefficients | homogenisation | Electro-kinetic | interfacial jump | steady-state Poisson-Nernst-Planck system | steady-state Poisson–Nernst–Planck system | MATHEMATICS, APPLIED | 35B27 | ION BATTERIES | 78A57 | 35J60 | 82B24 | MODEL | NERNST-PLANCK EQUATIONS | CRACKS | TRANSPORT | CONDUCTION | POROUS-MEDIA | DOMAINS | CONTACT RESISTANCE | Homogenization | Boundary conditions | Kinetics | Applied mathematics | Mathematical analysis | Discontinuity | Ion concentration | Mathematical models | Two materials | Estimates | Stems | Homogenizing

Boltzmann statistics | Robin condition | nonlinear Poisson equation | error corrector | oscillating coefficients | homogenisation | Electro-kinetic | interfacial jump | steady-state Poisson-Nernst-Planck system | steady-state Poisson–Nernst–Planck system | MATHEMATICS, APPLIED | 35B27 | ION BATTERIES | 78A57 | 35J60 | 82B24 | MODEL | NERNST-PLANCK EQUATIONS | CRACKS | TRANSPORT | CONDUCTION | POROUS-MEDIA | DOMAINS | CONTACT RESISTANCE | Homogenization | Boundary conditions | Kinetics | Applied mathematics | Mathematical analysis | Discontinuity | Ion concentration | Mathematical models | Two materials | Estimates | Stems | Homogenizing

Journal Article

Journal of computational physics, ISSN 0021-9991, 2017, Volume 328, pp. 413 - 437

We design an arbitrary-order free energy satisfying discontinuous Galerkin (DG) method for solving time-dependent Poisson–Nernst–Planck systems. Both the...

Poisson–Nernst–Planck equation | Free energy | Discontinuous Galerkin methods | LIQUID-JUNCTION | EQUATIONS | MODEL | GRAMICIDIN | PHYSICS, MATHEMATICAL | ASYMPTOTIC-BEHAVIOR | NUMERICAL-SOLUTION | DISCRETIZATION | TRANSPORT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Poisson-Nernst-Planck equation | LARGE TIME BEHAVIOR | DIFFUSION | Analysis | Methods | Algorithms | Mathematics - Numerical Analysis

Poisson–Nernst–Planck equation | Free energy | Discontinuous Galerkin methods | LIQUID-JUNCTION | EQUATIONS | MODEL | GRAMICIDIN | PHYSICS, MATHEMATICAL | ASYMPTOTIC-BEHAVIOR | NUMERICAL-SOLUTION | DISCRETIZATION | TRANSPORT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Poisson-Nernst-Planck equation | LARGE TIME BEHAVIOR | DIFFUSION | Analysis | Methods | Algorithms | Mathematics - Numerical Analysis

Journal Article

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, ISSN 1815-2406, 05/2018, Volume 23, Issue 5, pp. 1549 - 1572

The steady-state Poisson-Nernst-Planck (ssPNP) equations are an effective model for the description of ionic transport in ion channels...

POTASSIUM CHANNELS | PERTURBATION | PERMANENT CHARGE | Poisson-Nernst-Planck equations | MODEL | PHYSICS, MATHEMATICAL | FLOW | hysteresis | DISTRIBUTIONS | I-V curve | turning point | SYSTEMS | HARD-SPHERE REPULSION | multiple solutions | continuation | memory effect | QUALITATIVE PROPERTIES

POTASSIUM CHANNELS | PERTURBATION | PERMANENT CHARGE | Poisson-Nernst-Planck equations | MODEL | PHYSICS, MATHEMATICAL | FLOW | hysteresis | DISTRIBUTIONS | I-V curve | turning point | SYSTEMS | HARD-SPHERE REPULSION | multiple solutions | continuation | memory effect | QUALITATIVE PROPERTIES

Journal Article

ELECTROPHORESIS, ISSN 0173-0835, 07/2017, Volume 38, Issue 13-14, pp. 1693 - 1705

.... In particular, modified Poisson–Nernst–Planck equations are solved to capture the crowding and overscreening effects characteristic of an ionic liquid...

Electroconvective flow | Ionic liquids | Modified Poisson‐Nernst‐Planck equations | Electrokinetics | Modified Poisson-Nernst-Planck equations | CHEMISTRY, ANALYTICAL | SIZE | BIOCHEMICAL RESEARCH METHODS | ELECTROLYTES | FLOW | ELECTRICAL DOUBLE-LAYER | SURFACE | SYSTEMS | DIFFERENTIAL CAPACITANCE | Models, Theoretical | Computer Simulation | Electroosmosis | Poisson Distribution | Porosity | Ionic Liquids - chemistry | Static Electricity | Solvents | Charging | Computational fluid dynamics | Computer simulation | Fluid flow | Ion transport | Ions | Hydrodynamics | Stokes law (fluid mechanics) | Crowding | Flow stability | Capacitance | Mathematical models | Surface stability | Navier-Stokes equations

Electroconvective flow | Ionic liquids | Modified Poisson‐Nernst‐Planck equations | Electrokinetics | Modified Poisson-Nernst-Planck equations | CHEMISTRY, ANALYTICAL | SIZE | BIOCHEMICAL RESEARCH METHODS | ELECTROLYTES | FLOW | ELECTRICAL DOUBLE-LAYER | SURFACE | SYSTEMS | DIFFERENTIAL CAPACITANCE | Models, Theoretical | Computer Simulation | Electroosmosis | Poisson Distribution | Porosity | Ionic Liquids - chemistry | Static Electricity | Solvents | Charging | Computational fluid dynamics | Computer simulation | Fluid flow | Ion transport | Ions | Hydrodynamics | Stokes law (fluid mechanics) | Crowding | Flow stability | Capacitance | Mathematical models | Surface stability | Navier-Stokes equations

Journal Article

European biophysics journal, ISSN 1432-1017, 2012, Volume 41, Issue 6, pp. 527 - 534

...ORIGINAL PAPER
On the biophysics of cathodal galvanotaxis in rat prostate cancer
cells: Poisson–Nernst–Planck equation approach
Przemys aw Borys
Received: 31...

Biochemistry, general | Motility | Membrane Biology | Neurobiology | Biophysics and Biological Physics | Metastasis | Cathodal galvanotaxis | Cell Biology | Life Sciences | Mat-Ly-Lu | Poisson–Nernst–Planck equation | Prostate cancer | Nanotechnology | Poisson-Nernst-Planck equation | MIGRATION | CURRENT ELECTRIC-FIELD | TRANSPORT | BIOPHYSICS | CALCIUM | LINE | CHANNEL ACTIVITY | EXPRESSION | Prostatic Neoplasms - metabolism | Prostatic Neoplasms - pathology | Calcium - metabolism | Rats | Male | Electric Conductivity | Biophysics | Membrane Potentials - physiology | Cell Movement - physiology | Electrodes | Neoplasm Metastasis | Animals | Models, Biological | Computer Simulation | Sodium Channels - metabolism | Tumor Cells, Cultured | Actin | Myosin | Cancer cells | Polymerization | Muscle proteins | Mathematical models | Cellular biology | Rodents | Original Paper

Biochemistry, general | Motility | Membrane Biology | Neurobiology | Biophysics and Biological Physics | Metastasis | Cathodal galvanotaxis | Cell Biology | Life Sciences | Mat-Ly-Lu | Poisson–Nernst–Planck equation | Prostate cancer | Nanotechnology | Poisson-Nernst-Planck equation | MIGRATION | CURRENT ELECTRIC-FIELD | TRANSPORT | BIOPHYSICS | CALCIUM | LINE | CHANNEL ACTIVITY | EXPRESSION | Prostatic Neoplasms - metabolism | Prostatic Neoplasms - pathology | Calcium - metabolism | Rats | Male | Electric Conductivity | Biophysics | Membrane Potentials - physiology | Cell Movement - physiology | Electrodes | Neoplasm Metastasis | Animals | Models, Biological | Computer Simulation | Sodium Channels - metabolism | Tumor Cells, Cultured | Actin | Myosin | Cancer cells | Polymerization | Muscle proteins | Mathematical models | Cellular biology | Rodents | Original Paper

Journal Article

Physica. D, ISSN 0167-2789, 10/2020, Volume 411, p. 132536

The Poisson–Nernst–Planck–Lennard-Jones (PNP–LJ) model is a mathematical model for ionic solutions with Lennard-Jones interactions between the ions. Due to the...

Lennard-Jones interactions | Steric effects | Poisson–Nernst–Planck | Steric PNP equations | CAPACITY | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | SIZE | MODEL | PHYSICS, MATHEMATICAL | ELECTROLYTES | Poisson-Nernst-Planck | SIMPLE EXTENSION

Lennard-Jones interactions | Steric effects | Poisson–Nernst–Planck | Steric PNP equations | CAPACITY | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | SIZE | MODEL | PHYSICS, MATHEMATICAL | ELECTROLYTES | Poisson-Nernst-Planck | SIMPLE EXTENSION

Journal Article

Journal of Physics: Condensed Matter, ISSN 0953-8984, 06/2004, Volume 16, Issue 22, pp. S2153 - S2165

...Home Search Collections Journals About Contact us My IOPscience
Ionic diffusion through confined geometries: from Langevin equations to partial differential...

TESTS | PHYSICS, CONDENSED MATTER | BOLTZMANN | MODELS | CONTINUUM-THEORIES | CHANNELS | POISSON-NERNST-PLANCK

TESTS | PHYSICS, CONDENSED MATTER | BOLTZMANN | MODELS | CONTINUUM-THEORIES | CHANNELS | POISSON-NERNST-PLANCK

Journal Article

Journal of computational physics, ISSN 0021-9991, 2016, Volume 306, Issue C, pp. 1 - 18

A finite element discretization using a method of lines approached is proposed for approximately solving the Poisson–Nernst–Planck (PNP) equations...

Finite elements | Stability analysis | Poisson–Nernst–Planck | Energy estimate | Poisson-Nernst-Planck | EXISTENCE | NERNST-PLANCK | L-INFINITY | STABILITY | EQUATIONS | ION | PHYSICS, MATHEMATICAL | SCHEME | ELEMENT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | TIME BEHAVIOR | Finite element method | Discretization | Computation | Mathematical analysis | Electrokinetics | Mathematical models | Estimates | Navier-Stokes equations

Finite elements | Stability analysis | Poisson–Nernst–Planck | Energy estimate | Poisson-Nernst-Planck | EXISTENCE | NERNST-PLANCK | L-INFINITY | STABILITY | EQUATIONS | ION | PHYSICS, MATHEMATICAL | SCHEME | ELEMENT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | TIME BEHAVIOR | Finite element method | Discretization | Computation | Mathematical analysis | Electrokinetics | Mathematical models | Estimates | Navier-Stokes equations

Journal Article