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INN: Interfaced neural networks as an accessible meshless approach for solving interface PDE problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 470, 页码: 18
Authors:  Wu, Sidi;  Lu, Benzhuo
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Interface problems  Multiple-gradient descent  Neural network  PDEs  
A class of finite element methods with averaging techniques for solving the three-dimensional drift-diffusion model in semiconductor device simulations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 458, 页码: 24
Authors:  Zhang, Qianru;  Wang, Qin;  Zhang, Linbo;  Lu, Benzhuo
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Three-dimensional drift -diffusion model  Averaging technique  Finite element method  Semiconductor device  
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
Authors:  Chao, Zhen;  Gui, Sheng;  Lu, Benzhuo;  Xie, Dexuan
Favorite  |  View/Download：18/0  |  Submit date：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
Authors:  Zhang, Qianru;  Wang, Qin;  Zhang, Linbo;  Lu, Benzhuo
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A structure-preserving finite element discretization for the time-dependent Nernst-Planck equation 期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 页码: 20
Authors:  Zhang, Qianru;  Tu, Bin;  Fang, Qiaojun;  Lu, Benzhuo
Favorite  |  View/Download：89/0  |  Submit date：2021/10/26
Structure-preserving finite element discretization  Nernst-Planck equation  Scharfetter-Gummel approximation  Jordan-Kinderlehrer-Otto scheme  
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
Authors:  Wang, Qin;  Li, Hongliang;  Zhang, Linbo;  Lu, Benzhuo
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Poisson-Nernst-Planck  Stabilized finite element method  SUPG  interior penalty  
Charged porous asymmetric membrane for enhancing salinity gradient energy conversion 期刊论文
NANO ENERGY, 2021, 卷号: 79, 页码: 9
Authors:  Hou, Shuhua;  Zhang, Qianru;  Zhang, Zhen;  Kong, Xiangyu;  Lu, Benzhuo;  Wen, Liping;  Jiang, Lei
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Uniport ions  Asymmetric electric potential  Ion transport  Salinity gradient energy  
Molecular Sparse Representation by a 3D Ellipsoid Radial Basis Function Neural Network via L1 Regularization 期刊论文
JOURNAL OF CHEMICAL INFORMATION AND MODELING, 2020, 卷号: 60, 期号: 12, 页码: 6054-6064
Authors:  Gui, Sheng;  Chen, Zhaodi;  Lu, Benzhuo;  Chen, Minxin
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Improved Ion Transport in Hydrogel-Based Nanofluidics for Osmotic Energy Conversion 期刊论文
ACS CENTRAL SCIENCE, 2020, 卷号: 6, 期号: 11, 页码: 2097-2104
Authors:  Chen, Weipeng;  Zhang, Qianru;  Qian, Yongchao;  Xin, Weiwen;  Hao, Dezhao;  Zhao, Xiaolu;  Zhu, Congcong;  Kong, Xiang-Yu;  Lu, Benzhuo;  Jiang, Lei;  Wen, Liping
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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
Authors:  Zhang, Qianru;  Gui, Sheng;  Li, Hongliang;  Lu, Benzhuo
Favorite  |  View/Download：116/0  |  Submit date：2021/04/26
Reduced model  Poisson-Nernst-Planck  Smoluchowski-Poisson-Boltzmann  Initialization  Linear approximation of PNP model  Finite element method