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EFFICIENT GENERATION OF MEMBRANE AND SOLVENT TETRAHEDRAL MESHES FOR ION CHANNEL FINITE ELEMENT CALCULATION 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2022, 卷号: 19, 期号: 6, 页码: 887-906
作者:  Chao, Zhen;  Gui, Sheng;  Lu, Benzhuo;  Xie, Dexuan
收藏  |  浏览/下载：33/0  |  提交时间：2023/02/07
Finite element method  Poisson-Nernst-Planck equations  ion channel  membrane mesh generation  tetrahedral mesh  
An inverse averaging finite element method for solving three-dimensional Poisson-Nernst-Planck equations in nanopore system simulations 期刊论文
JOURNAL OF CHEMICAL PHYSICS, 2021, 卷号: 155, 期号: 19, 页码: 13
作者:  Zhang, Qianru;  Wang, Qin;  Zhang, Linbo;  Lu, Benzhuo
收藏  |  浏览/下载：103/0  |  提交时间：2022/04/02
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations 期刊论文
NUMERISCHE MATHEMATIK, 2021, 页码: 27
作者:  Shen, Jie;  Xu, Jie
收藏  |  浏览/下载：118/0  |  提交时间：2021/10/26
65M12  35K61  35K55  65Z05  70F99  
A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations 期刊论文
APPLIED MATHEMATICS LETTERS, 2021, 卷号: 111, 页码: 9
作者:  Wang, Qin;  Li, Hongliang;  Zhang, Linbo;  Lu, Benzhuo
收藏  |  浏览/下载：180/0  |  提交时间：2021/01/14
Poisson-Nernst-Planck  Stabilized finite element method  SUPG  interior penalty  
Model reduction-based initialization methods for solving the Poisson-Nernst-Plank equations in three-dimensional ion channel simulations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 419, 页码: 18
作者:  Zhang, Qianru;  Gui, Sheng;  Li, Hongliang;  Lu, Benzhuo
收藏  |  浏览/下载：149/0  |  提交时间：2021/04/26
Reduced model  Poisson-Nernst-Planck  Smoluchowski-Poisson-Boltzmann  Initialization  Linear approximation of PNP model  Finite element method  
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
作者:  Yang, Ying;  Lu, Benzhuo;  Xie, Yan
收藏  |  浏览/下载：126/0  |  提交时间：2020/05/24
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
作者:  Xu, Jingjie;  Lu, Benzhuo;  Zhang, Linbo
收藏  |  浏览/下载：154/0  |  提交时间：2018/07/30
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
作者:  Liu, Xuejiao;  Qiao, Yu;  Lu, Benzhou
收藏  |  浏览/下载：164/0  |  提交时间：2018/07/30
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
作者:  Liu, Pei;  Ji, Xia;  Xu, Zhenli
收藏  |  浏览/下载：169/0  |  提交时间：2018/07/30
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
作者:  Qiao, Yu;  Liu, Xuejiao;  Chen, Minxin;  Lu, Benzhuo
收藏  |  浏览/下载：145/0  |  提交时间：2018/07/30
Hard sphere repulsion  Three dimensional fundamental measure theory  Poisson-Nernst-Planck equations  Size-modified PNP  Equation of state