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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：215/0  |  提交时间：2021/01/14
Poisson-Nernst-Planck  Stabilized finite element method  SUPG  interior penalty  
Iterative two-grid methods for semilinear elliptic equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2020, 卷号: 80, 期号: 3, 页码: 522-530
作者:  Zhang, Weifeng;  Fan, Ronghong;  Zhong, Liuqiang
收藏  |  浏览/下载：175/0  |  提交时间：2020/06/30
Iterative methods  Two-grid method  Convergence  Semilinear elliptic equations  
THE QUADRATIC SPECHT TRIANGLE 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2020, 卷号: 38, 期号: 1, 页码: 103-124
作者:  Li, Hongliang;  Ming, Pingbing;  Shi, Zhongci
收藏  |  浏览/下载：187/0  |  提交时间：2020/05/24
Specht triangle  Plate bending element  Basis functions  
DASHMM Accelerated Adaptive Fast Multipole Poisson-Boltzmann Solver on Distributed Memory Architecture 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 卷号: 25, 期号: 4, 页码: 1235-1258
作者:  Zhang, Bo;  DeBuhr, Jackson;  Niedzielski, Drake;  Mayolo, Silvio;  Lu, Benzhuo;  Sterling, Thomas
收藏  |  浏览/下载：221/0  |  提交时间：2019/03/05
Poisson-Boltzmann equation  boundary element method  DASHMM  distributed computing  
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：161/0  |  提交时间：2020/05/24
Poisson-Nernst-Planck equations  Two-grid finite element method  Decoupling method  Error analysis  Gummel iteration  
Molecular Surface Remeshing with Local Region Refinement 期刊论文
INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES, 2018, 卷号: 19, 期号: 5, 页码: 20
作者:  Khan, Dawar;  Yan, Dong-Ming;  Gui, Sheng;  Lu, Benzhuo;  Zhang, Xiaopeng
收藏  |  浏览/下载：230/0  |  提交时间：2018/07/30
molecular surface mesh  molecular simulation  meshing quality  finite element method  
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：208/0  |  提交时间：2018/07/30
3D nanopore  analytical test  backward Euler  FEM  ICR  numerical simulation  PNP equations  varying voltage  
A Finite Element Solution of Lateral Periodic Poisson-Boltzmann Model for Membrane Channel Proteins 期刊论文
INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES, 2018, 卷号: 19, 期号: 3, 页码: 17
作者:  Ji, Nan;  Liu, Tiantian;  Xu, Jingjie;  Shen, Longzhu Q.;  Lu, Benzhuo
收藏  |  浏览/下载：202/0  |  提交时间：2018/07/30
laterally periodic Poisson-Boltzmann model  finite element method  membrane channel proteins  pore region  solvation  
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：199/0  |  提交时间：2018/07/30
free energy functional  electrolyte  boundary conditions  variable dielectric  generalized Poisson-Nernst-Planck/Poisson-Boltzmann equations  energy law  
Incorporating Born solvation energy into the three-dimensional Poisson-Nernst-Planck model to study ion selectivity in KcsA K+ channels 期刊论文
PHYSICAL REVIEW E, 2017, 卷号: 96, 期号: 6, 页码: 10
作者:  Liu, Xuejiao;  Lu, Benzhuo
收藏  |  浏览/下载：190/0  |  提交时间：2018/07/30