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Author ID: lu.benzhuo Recent zbMATH articles by "Lu, Benzhuo"
Published as: Lu, Benzhuo; Lu, B. Z.
Documents Indexed: 33 Publications since 2000
Co-Authors: 45 Co-Authors with 30 Joint Publications
1,343 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

21 Publications have been cited 199 times in 124 Documents Cited by Year
Recent progress in numerical methods for the Poisson-Boltzmann equation in biophysical applications. Zbl 1186.92005
Lu, B. Z.; Zhou, Y. C.; Holst, M. J.; McCammon, J. A.
60
2008
Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions. Zbl 1195.92004
Lu, Benzhuo; Holst, Michael J.; McCammon, J. Andrew; Zhou, Y. C.
48
2010
“New-version-fast-multipole-method” accelerated electrostatic calculations in biomolecular systems. Zbl 1121.92007
Lu, Benzhuo; Cheng, Xiaolin; McCammon, J. Andrew
18
2007
An error analysis for the finite element approximation to the steady-state Poisson-Nernst-Planck equations. Zbl 1262.65182
Yang, Ying; Lu, Benzhuo
9
2013
AFMPB: an adaptive fast multipole Poisson-Boltzmann solver for calculating electrostatics in biomolecular systems. Zbl 1220.78002
Lu, Benzhuo; Cheng, Xiaolin; Huang, Jingfang; McCammon, J. Andrew
9
2010
A local approximation of fundamental measure theory incorporated into three dimensional Poisson-Nernst-Planck equations to account for hard sphere repulsion among ions. Zbl 1345.35113
Qiao, Yu; Liu, Xuejiao; Chen, Minxin; Lu, Benzhuo
8
2016
A decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equations. Zbl 1436.65189
Shen, Ruigang; Shu, Shi; Yang, Ying; Lu, Benzhuo
7
2020
Efficient and qualified mesh generation for Gaussian molecular surface using adaptive partition and piecewise polynomial approximation. Zbl 1393.65027
Liu, Tiantian; Chen, Minxin; Lu, Benzhuo
6
2018
Mathematical and numerical aspects of the adaptive fast multipole Poisson-Boltzmann solver. Zbl 1373.78002
Zhang, Bo; Lu, Benzhuo; Cheng, Xiaolin; Huang, Jingfang; Pitsianis, Nikos P.; Sun, Xiaobai; Mccammon, J. Andrew
5
2013
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. Zbl 1388.35019
Liu, Xuejiao; Qiao, Yu; Lu, Benzhuo
5
2018
Parallel adaptive finite element algorithms for solving the coupled electro-diffusion equations. Zbl 1276.35143
Xie, Yan; Cheng, Jie; Lu, Benzhuo; Zhang, Linbo
5
2013
Parallel AFMPB solver with automatic surface meshing for calculation of molecular solvation free energy. Zbl 1344.78004
Zhang, Bo; Peng, Bo; Huang, Jingfang; Pitsianis, Nikos P.; Sun, Xiaobai; Lu, Benzhuo
4
2015
Stabilized finite element methods to simulate the conductances of ion channels. Zbl 1344.92060
Tu, Bin; Xie, Yan; Zhang, Linbo; Lu, Benzhuo
3
2015
A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations. Zbl 1448.78051
Wang, Qin; Li, Hongliang; Zhang, Linbo; Lu, Benzhuo
2
2021
Spreading of partially coherent flattened Gaussian beams propagating through turbulent media. Zbl 1116.78329
Ji, X.; Zhang, E.; Lü, B.
2
2006
Propagation of multi-Gaussian beams in incoherent combination through turbulent atmosphere and their beam quality. Zbl 1133.78008
Ji, X.; Zhang, E.; Lü, B.
2
2006
A flux-jump preserved gradient recovery technique for accurately predicting the electrostatic field of an immersed biomolecule. Zbl 1452.78030
Li, Jiao; Ying, Jinyong; Lu, Benzhuo
2
2019
A parallel finite element solver for biomolecular simulations based on the toolbox PHG. Zbl 1374.92053
Xu, Jingjie; Xie, Yan; Lu, Benzhuo
1
2016
A simulation method of combinding boundary element method with generalized Langevin dynamics. Zbl 0981.82014
Chen, Weizu; Lu, Benzhuo; Wang, Cunxin
1
2000
A decoupling two-grid method for the steady-state Poisson-Nernst-Planck equations. Zbl 1449.65329
Yang, Ying; Lu, Benzhuo; Xie, Yan
1
2019
Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem. Zbl 1465.65148
Yang, Ying; Tang, Ming; Liu, Chun; Lu, Benzhuo; Zhong, Liuqiang
1
2020
A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations. Zbl 1448.78051
Wang, Qin; Li, Hongliang; Zhang, Linbo; Lu, Benzhuo
2
2021
A decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equations. Zbl 1436.65189
Shen, Ruigang; Shu, Shi; Yang, Ying; Lu, Benzhuo
7
2020
Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem. Zbl 1465.65148
Yang, Ying; Tang, Ming; Liu, Chun; Lu, Benzhuo; Zhong, Liuqiang
1
2020
A flux-jump preserved gradient recovery technique for accurately predicting the electrostatic field of an immersed biomolecule. Zbl 1452.78030
Li, Jiao; Ying, Jinyong; Lu, Benzhuo
2
2019
A decoupling two-grid method for the steady-state Poisson-Nernst-Planck equations. Zbl 1449.65329
Yang, Ying; Lu, Benzhuo; Xie, Yan
1
2019
Efficient and qualified mesh generation for Gaussian molecular surface using adaptive partition and piecewise polynomial approximation. Zbl 1393.65027
Liu, Tiantian; Chen, Minxin; Lu, Benzhuo
6
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. Zbl 1388.35019
Liu, Xuejiao; Qiao, Yu; Lu, Benzhuo
5
2018
A local approximation of fundamental measure theory incorporated into three dimensional Poisson-Nernst-Planck equations to account for hard sphere repulsion among ions. Zbl 1345.35113
Qiao, Yu; Liu, Xuejiao; Chen, Minxin; Lu, Benzhuo
8
2016
A parallel finite element solver for biomolecular simulations based on the toolbox PHG. Zbl 1374.92053
Xu, Jingjie; Xie, Yan; Lu, Benzhuo
1
2016
Parallel AFMPB solver with automatic surface meshing for calculation of molecular solvation free energy. Zbl 1344.78004
Zhang, Bo; Peng, Bo; Huang, Jingfang; Pitsianis, Nikos P.; Sun, Xiaobai; Lu, Benzhuo
4
2015
Stabilized finite element methods to simulate the conductances of ion channels. Zbl 1344.92060
Tu, Bin; Xie, Yan; Zhang, Linbo; Lu, Benzhuo
3
2015
An error analysis for the finite element approximation to the steady-state Poisson-Nernst-Planck equations. Zbl 1262.65182
Yang, Ying; Lu, Benzhuo
9
2013
Mathematical and numerical aspects of the adaptive fast multipole Poisson-Boltzmann solver. Zbl 1373.78002
Zhang, Bo; Lu, Benzhuo; Cheng, Xiaolin; Huang, Jingfang; Pitsianis, Nikos P.; Sun, Xiaobai; Mccammon, J. Andrew
5
2013
Parallel adaptive finite element algorithms for solving the coupled electro-diffusion equations. Zbl 1276.35143
Xie, Yan; Cheng, Jie; Lu, Benzhuo; Zhang, Linbo
5
2013
Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions. Zbl 1195.92004
Lu, Benzhuo; Holst, Michael J.; McCammon, J. Andrew; Zhou, Y. C.
48
2010
AFMPB: an adaptive fast multipole Poisson-Boltzmann solver for calculating electrostatics in biomolecular systems. Zbl 1220.78002
Lu, Benzhuo; Cheng, Xiaolin; Huang, Jingfang; McCammon, J. Andrew
9
2010
Recent progress in numerical methods for the Poisson-Boltzmann equation in biophysical applications. Zbl 1186.92005
Lu, B. Z.; Zhou, Y. C.; Holst, M. J.; McCammon, J. A.
60
2008
“New-version-fast-multipole-method” accelerated electrostatic calculations in biomolecular systems. Zbl 1121.92007
Lu, Benzhuo; Cheng, Xiaolin; McCammon, J. Andrew
18
2007
Spreading of partially coherent flattened Gaussian beams propagating through turbulent media. Zbl 1116.78329
Ji, X.; Zhang, E.; Lü, B.
2
2006
Propagation of multi-Gaussian beams in incoherent combination through turbulent atmosphere and their beam quality. Zbl 1133.78008
Ji, X.; Zhang, E.; Lü, B.
2
2006
A simulation method of combinding boundary element method with generalized Langevin dynamics. Zbl 0981.82014
Chen, Weizu; Lu, Benzhuo; Wang, Cunxin
1
2000
all top 5

Cited by 217 Authors

16 Lu, Benzhuo
11 Xie, Dexuan
8 Ying, Jinyong
7 Geng, Weihua
6 Yang, Ying
6 Zhao, Shan
5 Liu, Chun
5 Shu, Shi
5 Wang, Zhongming
4 Chen, Minxin
4 Jiang, Yi
4 Liu, Hailiang
4 Sun, Pengtao
4 Zhang, Bo
4 Zhou, Shenggao
3 Cai, Wei
3 Gibou, Frédéric
3 Holst, Michael J.
3 Huang, Jingfang
3 Khoromskiĭ, Boris Nikolaevich
3 Kwak, Do Young
3 Li, Jiao
3 McCammon, J. Andrew
3 Shen, Ruigang
3 Xu, Zhenli
3 Zhang, Linbo
2 Alexov, Emil
2 Bates, Peter W.
2 Chen, Duan
2 Chen, Jiahui
2 Dehghan Takht Fooladi, Mehdi
2 Deng, Weishan
2 Ding, Jie
2 Fang, Mingjuan
2 Gao, Huadong
2 He, Dongdong
2 He, Mingyan
2 Itzá-Balam, Reymundo
2 Jo, Gwanghyun
2 Khoromskaia, Venera
2 Krasny, Robert
2 Kwon, In-Hyuk
2 Liu, Weishi
2 Liu, Xuejiao
2 Maimaitiyiming, Wumaier
2 Majd, Sheereen
2 Metti, Maximilian S.
2 Pitsianis, Nikos P.
2 Qiao, Yu
2 Ren, Kui
2 Sun, Xiaobai
2 Xie, Yan
2 Xu, Jin
2 Xu, Jinchao
2 Xu, Shixin
2 Yue, Xiaoqiang
2 Yue, Xingye
2 Zapata, Miguel Uh
2 Zhang, Mingji
1 Abbaszadeh, Mostafa
1 Ahmad, Masood
1 Aitbayev, Rakhim
1 Aksoylu, Burak
1 Alshammari, Fehaid Salem
1 Astuto, Clarissa
1 Banerjee, Sanjoy
1 Baumketner, Andrij
1 Benner, Peter
1 Bond, Stephen D.
1 Bousquet, Arthur
1 Cao, Xiulei
1 Chen, Gang
1 Chen, Jianing
1 Chen, Xiangling
1 Chen, Yanlai
1 Cheng, Jie
1 Cheng, Yuhui
1 Coco, Armando
1 Coco, Salvatore
1 Consiglieri, Luisa
1 Corti, Mario
1 Cyr, Eric C.
1 Debuhr, Jackson
1 Deng, Shaozhong
1 Deteix, Jean
1 Dione, Ibrahima
1 Domingos, Ana Rute
1 Doyon, Nicolas
1 Egan, Raphael
1 Fan, Ronghong
1 Fang, Fuhui
1 Fenley, Marcia O.
1 Fu, Jing
1 Fulginei, Francesco Riganti
1 Martínez Gamba, Irene
1 Gan, Zecheng
1 Gerstenmayer, Anita
1 Gharibi, Zeinab
1 Grassi, Antonio
1 Harmon, Michael
...and 117 more Authors

Citations by Year