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A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 4, 页码: 556-578
Authors:  Yang, Ying;  Lu, Benzhuo;  Xie, Yan
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Poisson-Nernst-Planck equations  Two-grid finite element method  Decoupling method  Error analysis  Gummel iteration  
A Time-Dependent Finite Element Algorithm for Simulations of Ion Current Rectification and Hysteresis Properties of 3D Nanopore System 期刊论文
IEEE TRANSACTIONS ON NANOTECHNOLOGY, 2018, 卷号: 17, 期号: 3, 页码: 513-519
Authors:  Xu, Jingjie;  Lu, Benzhuo;  Zhang, Linbo
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3D nanopore  analytical test  backward Euler  FEM  ICR  numerical simulation  PNP equations  varying voltage  
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 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 78, 期号: 2, 页码: 1131-1154
Authors:  Liu, Xuejiao;  Qiao, Yu;  Lu, Benzhou
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free energy functional  electrolyte  boundary conditions  variable dielectric  generalized Poisson-Nernst-Planck/Poisson-Boltzmann equations  energy law  
MODIFIED POISSON-NERNST-PLANCK MODEL WITH ACCURATE COULOMB CORRELATION IN VARIABLE MEDIA 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 78, 期号: 1, 页码: 226-245
Authors:  Liu, Pei;  Ji, Xia;  Xu, Zhenli
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charge transport  ion correlation  continuum theory for electrostatics  asymptotic expansion  Green's function  Poisson-Nernst-Planck equations  
A Local Approximation of Fundamental Measure Theory Incorporated into Three Dimensional Poisson-Nernst-Planck Equations to Account for Hard Sphere Repulsion Among Ions 期刊论文
JOURNAL OF STATISTICAL PHYSICS, 2016, 卷号: 163, 期号: 1, 页码: 156-174
Authors:  Qiao, Yu;  Liu, Xuejiao;  Chen, Minxin;  Lu, Benzhuo
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Hard sphere repulsion  Three dimensional fundamental measure theory  Poisson-Nernst-Planck equations  Size-modified PNP  Equation of state  
improvementsincontinuummodelingforbiomolecularsystems 期刊论文
chinesephysicsb, 2016, 卷号: 25, 期号: 1
Authors:  Qiao Yu;  Lu Benzhuo
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Poisson-Nernst-Planck Equations for Simulating Biomolecular Diffusion-Reaction Processes II: Size Effects on Ionic Distributions and Diffusion-Reaction Rates 期刊论文
BIOPHYSICAL JOURNAL, 2011, 卷号: 100, 期号: 10, 页码: 2475-2485
Authors:  Lu, Benzhuo;  Zhou, Y. C.
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Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes I: Finite element solutions 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 卷号: 229, 期号: 19, 页码: 6979-6994
Authors:  Lu, Benzhuo;  Holst, Michael J.;  McCammon, J. Andrew;  Zhou, Y. C.
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Electrodiffusion  Poisson-Nernst-Planck equations  Finite element  Singular charges  Molecular surface  Boundary condition  Conditioning