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Benzhuo Lu
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Publications
- 2022
- [j25]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): 1545-1564 (2022) - [j24]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: 111086 (2022) - [j22]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): 27 (2022) - [i5]Zhen Chao, Sheng Gui, Benzhuo Lu, Dexuan Xie:
Efficient Generation of Membrane and Solvent Tetrahedral Meshes for Ion Channel Finite Element Calculation. CoRR abs/2201.05707 (2022) - 2021
- [j21]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: 106652 (2021) - [j20]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: 110098 (2021) - [i3]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 abs/2112.01692 (2021) - 2020
- [j19]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): 78 (2020) - [j18]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): 6054-6064 (2020) - [j17]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: 109627 (2020) - [j16]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): 1613-1651 (2020) - [j15]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): B1490-B1516 (2020) - [i2]Sheng Gui, Zhaodi Chen, Minxin Chen, Benzhuo Lu:
Molecular Sparse Representation by 3D Ellipsoid Radial Basis Function Neural Networks via $L_1$ Regularization. CoRR abs/2005.05307 (2020) - 2019
- [j14]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: 193-208 (2019) - [i1]Sheng Gui, Minxin Chen, Benzhuo Lu:
Sparse Representation of Gaussian Molecular Surface. CoRR abs/1909.09095 (2019) - 2018
- [j12]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) - [j11]Sheng Gui, Dawar Khan, Qin Wang, Dong-Ming Yan, Ben-Zhuo Lu:
Frontiers in biomolecular mesh generation and molecular visualization systems. Vis. Comput. Ind. Biomed. Art 1: 1-13 (2018) - 2015
- [j9]Bin Tu, Yan Xie, Linbo Zhang, Benzhuo Lu:
Stabilized finite element methods to simulate the conductances of ion channels. Comput. Phys. Commun. 188: 131-139 (2015) - 2013
- [j6]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): 2065-2078 (2013)
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