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Benzhuo Lu
ORCID
Publication Activity (10 Years)
Years Active: 2006-2024
Publications (10 Years): 25
Top Topics
Finite Element
Neural Network
Top Venues
J. Comput. Phys.
CoRR
Comput. Phys. Commun.
SIAM J. Sci. Comput.
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Publications
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Wenxuan Zhang
,
Benzhuo Lu
Stock Trend Prediction with Machine Learning: Incorporating Inter-Stock Correlation Information through Laplacian Matrix.
Big Data Cogn. Comput.
8 (6) (2024)
Minrui Lv
,
Benzhuo Lu
A flux-based moving mesh method applied to solving the Poisson-Nernst-Planck equations.
J. Comput. Phys.
513 (2024)
Sidi Wu
,
Aiqing Zhu
,
Yifa Tang
,
Benzhuo Lu
Solving parametric elliptic interface problems via interfaced operator network.
J. Comput. Phys.
514 (2024)
Sidi Wu
,
Aiqing Zhu
,
Yifa Tang
,
Benzhuo Lu
Solving parametric elliptic interface problems via interfaced operator network.
CoRR
(2023)
Keying Ma
,
Jianbo Lu
,
Benzhuo Lu
Parameter-Efficient Densely Connected Dual Attention Network for Phonocardiogram Classification.
IEEE J. Biomed. Health Informatics
27 (9) (2023)
Zhen Chao
,
Sheng Gui
,
Benzhuo Lu
,
Dexuan Xie
Efficient Generation of Membrane and Solvent Tetrahedral Meshes for Ion Channel Finite Element Calculation.
CoRR
(2022)
Wanwan Zhu
,
Ying Yang
,
Guanghua Ji
,
Benzhuo Lu
Residual Type a Posteriori Error Estimates for the Time-Dependent Poisson-Nernst-Planck Equations.
J. Sci. Comput.
90 (1) (2022)
Sidi Wu
,
Aiqing Zhu
,
Benzhuo Lu
On convergence of neural network methods for solving elliptic interface problems.
CoRR
(2022)
Sidi Wu
,
Benzhuo Lu
INN: Interfaced neural networks as an accessible meshless approach for solving interface PDE problems.
J. Comput. Phys.
470 (2022)
Qianru Zhang
,
Qin Wang
,
Linbo Zhang
,
Benzhuo Lu
A class of finite element methods with averaging techniques for solving the three-dimensional drift-diffusion model in semiconductor device simulations.
J. Comput. Phys.
458 (2022)
Qianru Zhang
,
Bin Tu
,
Qiaojun Fang
,
Benzhuo Lu
A structure-preserving finite element discretization for the time-dependent Nernst-Planck equation.
J. Appl. Math. Comput.
68 (3) (2022)
Ruigang Shen
,
Qianru Zhang
,
Benzhuo Lu
An inverse averaging finite element method for solving the size-modified Poisson-Nernst-Planck equations in ion channel simulations.
CoRR
(2021)
Jinyong Ying
,
Ronghong Fan
,
Jiao Li
,
Benzhuo Lu
A new block preconditioner and improved finite element solver of Poisson-Nernst-Planck equation.
J. Comput. Phys.
430 (2021)
Qin Wang
,
Hongliang Li
,
Linbo Zhang
,
Benzhuo Lu
A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations.
Appl. Math. Lett.
111 (2021)
Sheng Gui
,
Zhaodi Chen
,
Minxin Chen
,
Benzhuo Lu
Molecular Sparse Representation by 3D Ellipsoid Radial Basis Function Neural Networks via $L_1$ Regularization.
CoRR
(2020)
Qianru Zhang
,
Sheng Gui
,
Hongliang Li
,
Benzhuo Lu
Model reduction-based initialization methods for solving the Poisson-Nernst-Plank equations in three-dimensional ion channel simulations.
J. Comput. Phys.
419 (2020)
Sheng Gui
,
Zhaodi Chen
,
Benzhuo Lu
,
Minxin Chen
Molecular Sparse Representation by a 3D Ellipsoid Radial Basis Function Neural Network via L1 Regularization.
J. Chem. Inf. Model.
60 (12) (2020)
Ruigang Shen
,
Shi Shu
,
Ying Yang
,
Benzhuo Lu
A decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equations.
Numer. Algorithms
83 (4) (2020)
Ying Yang
,
Ming Tang
,
Chun Liu
,
Benzhuo Lu
,
Liuqiang Zhong
Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem.
Adv. Comput. Math.
46 (6) (2020)
Dexuan Xie
,
Benzhuo Lu
An Effective Finite Element Iterative Solver for a Poisson-Nernst-Planck Ion Channel Model with Periodic Boundary Conditions.
SIAM J. Sci. Comput.
42 (6) (2020)
Jiao Li
,
Jinyong Ying
,
Benzhuo Lu
A flux-jump preserved gradient recovery technique for accurately predicting the electrostatic field of an immersed biomolecule.
J. Comput. Phys.
396 (2019)
Sheng Gui
,
Minxin Chen
,
Benzhuo Lu
Sparse Representation of Gaussian Molecular Surface.
CoRR
(2019)
Tiantian Liu
,
Minxin Chen
,
Benzhuo Lu
Efficient and Qualified Mesh Generation for Gaussian Molecular Surface Using Adaptive Partition and Piecewise Polynomial Approximation.
SIAM J. Sci. Comput.
40 (2) (2018)
Xuejiao Liu
,
Yu Qiao
,
Benzhuo Lu
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.
SIAM J. Appl. Math.
78 (2) (2018)
Jianbo Lu
,
Guoliang Xu
,
Shihua Zhang
,
Benzhuo Lu
An effective sequence-alignment-free superpositioning of pairwise or multiple structures with missing data.
Algorithms Mol. Biol.
11 (2016)
Bo Zhang
,
Bo Peng
,
Jingfang Huang
,
Nikos P. Pitsianis
,
Xiaobai Sun
,
Benzhuo Lu
Parallel AFMPB solver with automatic surface meshing for calculation of molecular solvation free energy.
Comput. Phys. Commun.
190 (2015)
Bin Tu
,
Yan Xie
,
Linbo Zhang
,
Benzhuo Lu
Stabilized finite element methods to simulate the conductances of ion channels.
Comput. Phys. Commun.
188 (2015)
Benzhuo Lu
,
Xiaolin Cheng
,
Jingfang Huang
,
James Andrew McCammon
AFMPB: An adaptive fast multipole Poisson-Boltzmann solver for calculating electrostatics in biomolecular systems.
Comput. Phys. Commun.
184 (11) (2013)
Bin Tu
,
Minxin Chen
,
Yan Xie
,
Linbo Zhang
,
Bob Eisenberg
,
Benzhuo Lu
A parallel finite element simulator for ion transport through three-dimensional ion channel systems.
J. Comput. Chem.
34 (24) (2013)
Benzhuo Lu
,
Xiaolin Cheng
,
Jingfang Huang
,
James Andrew McCammon
AFMPB: An adaptive fast multipole Poisson-Boltzmann solver for calculating electrostatics in biomolecular systems.
Comput. Phys. Commun.
181 (6) (2010)
Benzhuo Lu
,
Michael J. Holst
,
James Andrew McCammon
,
Yongcheng Zhou
Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes I: Finite element solutions.
J. Comput. Phys.
229 (19) (2010)
Benzhuo Lu
,
Xiaolin Cheng
,
James Andrew McCammon
"New-version-fast-multipole-method" accelerated electrostatic calculations in biomolecular systems.
J. Comput. Phys.
226 (2) (2007)
Tingjun Hou
,
Ken Chen
,
William A. McLaughlin
,
Benzhuo Lu
,
Wei Wang
Computational Analysis and Prediction of the Binding Motif and Protein Interacting Partners of the Abl SH3 Domain.
PLoS Comput. Biol.
2 (1) (2006)