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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
作者:  Wu, Sidi;  Lu, Benzhuo
收藏  |  浏览/下载：64/0  |  提交时间：2023/02/07
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
作者:  Zhang, Qianru;  Wang, Qin;  Zhang, Linbo;  Lu, Benzhuo
收藏  |  浏览/下载：58/0  |  提交时间：2023/02/07
Three-dimensional drift -diffusion model  Averaging technique  Finite element method  Semiconductor device  
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：152/0  |  提交时间：2021/04/26
Reduced model  Poisson-Nernst-Planck  Smoluchowski-Poisson-Boltzmann  Initialization  Linear approximation of PNP model  Finite element method  
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
作者:  Lu, Benzhuo;  Holst, Michael J.;  McCammon, J. Andrew;  Zhou, Y. C.
收藏  |  浏览/下载：132/0  |  提交时间：2018/07/30
Electrodiffusion  Poisson-Nernst-Planck equations  Finite element  Singular charges  Molecular surface  Boundary condition  Conditioning