Benzhuo Lu

This page is a disambiguation page, it actually contains mutiple papers from persons of the same or a similar name.

Bibliography

2024
Ion Transport in Dipolar Medium I: A Local Dielectric Poisson-Nernst-Planck/Poisson-Boltzmann Model.
SIAM J. Appl. Math., 2024

Solving parametric elliptic interface problems via interfaced operator network.
J. Comput. Phys., 2024

A flux-based moving mesh method applied to solving the Poisson-Nernst-Planck equations.
J. Comput. Phys., 2024

Stock Trend Prediction with Machine Learning: Incorporating Inter-Stock Correlation Information through Laplacian Matrix.
Big Data Cogn. Comput., 2024

2023
Parameter-Efficient Densely Connected Dual Attention Network for Phonocardiogram Classification.
IEEE J. Biomed. Health Informatics, September, 2023

2022
A structure-preserving finite element discretization for the time-dependent Nernst-Planck equation.
J. Appl. Math. Comput., June, 2022

Residual Type a Posteriori Error Estimates for the Time-Dependent Poisson-Nernst-Planck Equations.
J. Sci. Comput., 2022

A class of finite element methods with averaging techniques for solving the three-dimensional drift-diffusion model in semiconductor device simulations.
J. Comput. Phys., 2022

INN: Interfaced neural networks as an accessible meshless approach for solving interface PDE problems.
J. Comput. Phys., 2022

On convergence of neural network methods for solving elliptic interface problems.
CoRR, 2022

Efficient Generation of Membrane and Solvent Tetrahedral Meshes for Ion Channel Finite Element Calculation.
CoRR, 2022

2021
A new block preconditioner and improved finite element solver of Poisson-Nernst-Planck equation.
J. Comput. Phys., 2021

An inverse averaging finite element method for solving the size-modified Poisson-Nernst-Planck equations in ion channel simulations.
CoRR, 2021

A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations.
Appl. Math. Lett., 2021

2020
An Effective Finite Element Iterative Solver for a Poisson-Nernst-Planck Ion Channel Model with Periodic Boundary Conditions.
SIAM J. Sci. Comput., 2020

A decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equations.
Numer. Algorithms, 2020

Model reduction-based initialization methods for solving the Poisson-Nernst-Plank equations in three-dimensional ion channel simulations.
J. Comput. Phys., 2020

Molecular Sparse Representation by a 3D Ellipsoid Radial Basis Function Neural Network via L1 Regularization.
J. Chem. Inf. Model., 2020

Molecular Sparse Representation by 3D Ellipsoid Radial Basis Function Neural Networks via $L_1$ Regularization.
CoRR, 2020

Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem.
Adv. Comput. Math., 2020

2019
A flux-jump preserved gradient recovery technique for accurately predicting the electrostatic field of an immersed biomolecule.
J. Comput. Phys., 2019

Sparse Representation of Gaussian Molecular Surface.
CoRR, 2019

2018
Frontiers in biomolecular mesh generation and molecular visualization systems.
Vis. Comput. Ind. Biomed. Art, 2018

Efficient and Qualified Mesh Generation for Gaussian Molecular Surface Using Adaptive Partition and Piecewise Polynomial Approximation.
SIAM J. Sci. Comput., 2018

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., 2018

2016
An effective sequence-alignment-free superpositioning of pairwise or multiple structures with missing data.
Algorithms Mol. Biol., 2016

2015
Parallel AFMPB solver with automatic surface meshing for calculation of molecular solvation free energy.
Comput. Phys. Commun., 2015

Stabilized finite element methods to simulate the conductances of ion channels.
Comput. Phys. Commun., 2015

2013
A parallel finite element simulator for ion transport through three-dimensional ion channel systems.
J. Comput. Chem., 2013

2010
Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes I: Finite element solutions.
J. Comput. Phys., 2010

AFMPB: An adaptive fast multipole Poisson-Boltzmann solver for calculating electrostatics in biomolecular systems.
Comput. Phys. Commun., 2010

2007
"New-version-fast-multipole-method" accelerated electrostatic calculations in biomolecular systems.
J. Comput. Phys., 2007

2006
Computational Analysis and Prediction of the Binding Motif and Protein Interacting Partners of the Abl SH3 Domain.
PLoS Comput. Biol., 2006

2004
Scoring protein-protein docked structures based on the balance and tightness of binding.
J. Comput. Aided Mol. Des., 2004


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