4.7 Article

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

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Computer Science, Interdisciplinary Applications

Structure-preserving and efficient numerical methods for ion transport

Jie Ding et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2020)

Article Physics, Mathematical

A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

Lixiu Dong et al.

COMMUNICATIONS IN COMPUTATIONAL PHYSICS (2020)

Article Mathematics, Applied

NUMERICAL COMPLETE SOLUTION FOR RANDOM GENETIC DRIFT BY ENERGETIC VARIATIONAL APPROACH

Chenghua Duan et al.

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2019)

Article Computer Science, Interdisciplinary Applications

Numerical methods for porous medium equation by an energetic variational approach

Chenghua Duan et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2019)

Article Computer Science, Interdisciplinary Applications

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

Yiran Qian et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2019)

Article Mathematics, Applied

Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson-Nernst-Planck System

Jie Ding et al.

NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS (2019)

Article Mathematics, Applied

VARIATIONAL APPROACH TO CONCENTRATION DEPENDENT DIELECTRICS WITH THE BRUGGEMAN MODEL: THEORY AND NUMERICS

Xiang Ji et al.

COMMUNICATIONS IN MATHEMATICAL SCIENCES (2019)

Article Chemistry, Physical

From Solvent-Free to Dilute Electrolytes: Essential Components for a Continuum Theory

Nir Gavish et al.

JOURNAL OF PHYSICAL CHEMISTRY LETTERS (2018)

Article Mathematics, Applied

A MODIFIED POISSON-NERNST-PLANCK MODEL WITH EXCLUDED VOLUME EFFECT: THEORY AND NUMERICAL IMPLEMENTATION

Farjana Siddiqua et al.

COMMUNICATIONS IN MATHEMATICAL SCIENCES (2018)

Article Chemistry, Physical

Do Bistable Steric Poisson-Nernst-Planck Models Describe Single-Channel Gating?

Nir Gavish et al.

JOURNAL OF PHYSICAL CHEMISTRY B (2018)

Article Mathematics, Applied

MODIFIED POISSON-NERNST-PLANCK MODEL WITH ACCURATE COULOMB CORRELATION IN VARIABLE MEDIA

Pei Liu et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2018)

Article Physics, Mathematical

A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

Yue Yan et al.

COMMUNICATIONS IN COMPUTATIONAL PHYSICS (2018)

Article Physics, Mathematical

Computational Study on Hysteresis of Ion Channels: Multiple Solutions to Steady-State Poisson-Nernst-Planck Equations

Jie Ding et al.

COMMUNICATIONS IN COMPUTATIONAL PHYSICS (2018)

Article Mathematics, Applied

Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system

Yuan Liu et al.

NUMERISCHE MATHEMATIK (2017)

Article Computer Science, Interdisciplinary Applications

A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson-Nernst-Planck systems

Hailiang Liu et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2017)

Article Mathematics, Applied

Linearized Conservative Finite Element Methods for the Nernst-Planck-Poisson Equations

Huadong Gao et al.

JOURNAL OF SCIENTIFIC COMPUTING (2017)

Article Engineering, Electrical & Electronic

An energy-preserving discretization for the Poisson-Nernst-Planck equations

Allen Flavell et al.

JOURNAL OF COMPUTATIONAL ELECTRONICS (2017)

Article Mathematics, Applied

Stability and convergence of a second-order mixed finite element method for the Cahn-Hilliard equation

Amanda E. Diegel et al.

IMA JOURNAL OF NUMERICAL ANALYSIS (2016)

Article Computer Science, Interdisciplinary Applications

Energetically stable discretizations for charge transport and electrokinetic models

Maximilian S. Metti et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2016)

Article Chemistry, Physical

Theory of Phase Separation and Polarization for Pure Ionic Liquids

Nir Gavish et al.

JOURNAL OF PHYSICAL CHEMISTRY LETTERS (2016)

Review Chemistry, Multidisciplinary

Structure and Nanostructure in Ionic Liquids

Robert Hayes et al.

CHEMICAL REVIEWS (2015)

Article Chemistry, Physical

Coupling Bulk and Near-Electrode Interfacial Nanostructuring in Ionic Liquids

Arik Yochelis et al.

CHEMISTRY OF MATERIALS (2015)

Article Computer Science, Interdisciplinary Applications

Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations

Zhen Guan et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2014)

Article Computer Science, Interdisciplinary Applications

A free energy satisfying finite difference method for Poisson-Nernst-Planck equations

Hailiang Liu et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2014)

Article Computer Science, Interdisciplinary Applications

A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids

Mohammad Mirzadeh et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2014)

Article Chemistry, Physical

Poisson-Boltzmann versus Size-Modified Poisson-Boltzmann Electrostatics Applied to Lipid Bilayers

Nuo Wang et al.

JOURNAL OF PHYSICAL CHEMISTRY B (2014)

Article Physics, Condensed Matter

Time-dependent density functional theory for ion diffusion in electrochemical systems

Jian Jiang et al.

JOURNAL OF PHYSICS-CONDENSED MATTER (2014)

Article Mathematics, Applied

A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation

Zhen Guan et al.

NUMERISCHE MATHEMATIK (2014)

Article Engineering, Electrical & Electronic

A conservative finite difference scheme for Poisson-Nernst-Planck equations

Allen Flavell et al.

JOURNAL OF COMPUTATIONAL ELECTRONICS (2014)

Article Mathematics, Applied

A new approach to the Lennard-Jones potential and a new model: PNP-steric equations

Tai-Chia Lin et al.

Communications in Mathematical Sciences (2013)

Article Computer Science, Interdisciplinary Applications

Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation

Arvind Baskaran et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2013)

Article Mathematics, Applied

CONVERGENCE ANALYSIS OF A SECOND ORDER CONVEX SPLITTING SCHEME FOR THE MODIFIED PHASE FIELD CRYSTAL EQUATION

A. Baskaran et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2013)

Article Chemistry, Physical

PNP Equations with Steric Effects: A Model of Ion Flow through Channels

Tzyy-Leng Horng et al.

JOURNAL OF PHYSICAL CHEMISTRY B (2012)

Article Mathematics, Applied

A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection

Wenbin Chen et al.

JOURNAL OF SCIENTIFIC COMPUTING (2012)

Article Computer Science, Interdisciplinary Applications

Second-order Poisson-Nernst-Planck solver for ion transport

Qiong Zheng et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2011)

Article Physics, Fluids & Plasmas

Mean-field description of ionic size effects with nonuniform ionic sizes: A numerical approach

Shenggao Zhou et al.

PHYSICAL REVIEW E (2011)

Article Physics, Multidisciplinary

Double Layer in Ionic Liquids: Overscreening versus Crowding

Martin Z. Bazant et al.

PHYSICAL REVIEW LETTERS (2011)

Article Mathematics, Applied

AN ENERGY STABLE AND CONVERGENT FINITE-DIFFERENCE SCHEME FOR THE MODIFIED PHASE FIELD CRYSTAL EQUATION

C. Wang et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2011)

Article Mathematics, Applied

UNCONDITIONALLY STABLE SCHEMES FOR EQUATIONS OF THIN FILM EPITAXY

Cheng Wang et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2010)

Article Computer Science, Interdisciplinary Applications

Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes I: Finite element solutions

Benzhuo Lu et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2010)

Review Chemistry, Physical

Towards an understanding of induced-charge electrokinetics at large applied voltages in concentrated solutions

Martin Z. Bazant et al.

ADVANCES IN COLLOID AND INTERFACE SCIENCE (2009)

Article Computer Science, Interdisciplinary Applications

Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

Z. Hu et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2009)

Article Mathematics, Applied

Convergent discretizations for the Nernst-Planck-Poisson system

Andreas Prohl et al.

NUMERISCHE MATHEMATIK (2009)

Article Mathematics, Applied

AN ENERGY-STABLE AND CONVERGENT FINITE-DIFFERENCE SCHEME FOR THE PHASE FIELD CRYSTAL EQUATION

S. M. Wise et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2009)

Article Mathematics, Applied

Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy

Helmut Abels et al.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2007)

Article Mathematics, Applied

Robust exponential attractors for Cahn-Hilliard type equations with singular potentials

A Miranville et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2004)

Review Physics, Fluids & Plasmas

Diffuse-charge dynamics in electrochemical systems

MZ Bazant et al.

PHYSICAL REVIEW E (2004)