Benzhuo Lu

Available identifiers

List of research outcomes

Publication	Date of Publication	Type
Solving parametric elliptic interface problems via interfaced operator network	2023-08-28	Paper
Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems	2023-04-21	Paper
https://portal.mardi4nfdi.de/entity/Q5039498	2022-10-13	Paper
INN: interfaced neural networks as an accessible meshless approach for solving interface PDE problems	2022-10-11	Paper
A structure-preserving finite element discretization for the time-dependent Nernst-Planck equation	2022-05-27	Paper
A class of finite element methods with averaging techniques for solving the three-dimensional drift-diffusion model in semiconductor device simulations	2022-05-17	Paper
Model reduction-based initialization methods for solving the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations	2022-04-14	Paper
A new block preconditioner and improved finite element solver of Poisson-Nernst-Planck equation	2022-04-11	Paper
Convergence of physics-informed neural networks applied to linear second-order elliptic interface problems	2022-03-07	Paper
Efficient Generation of Membrane and Solvent Tetrahedral Meshes for Ion Channel Finite Element Calculation	2022-01-14	Paper
Residual type a posteriori error estimates for the time-dependent Poisson-Nernst-Planck equations	2021-12-14	Paper
DASHMM Accelerated Adaptive Fast Multipole Poisson-Boltzmann Solver on Distributed Memory Architecture	2021-10-29	Paper
Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem	2021-05-14	Paper
An Effective Finite Element Iterative Solver for a Poisson--Nernst--Planck Ion Channel Model with Periodic Boundary Conditions	2021-01-29	Paper
A flux-jump preserved gradient recovery technique for accurately predicting the electrostatic field of an immersed biomolecule	2021-01-27	Paper
https://portal.mardi4nfdi.de/entity/Q5143744	2021-01-14	Paper
https://portal.mardi4nfdi.de/entity/Q5143753	2021-01-14	Paper
A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations	2020-10-08	Paper
Molecular Sparse Representation by 3D Ellipsoid Radial Basis Function Neural Networks via $L_1$ Regularization	2020-05-09	Paper
A decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equations	2020-04-22	Paper
A Decoupling Two-Grid Method for the Steady-State Poisson-Nernst-Planck Equations	2020-01-22	Paper
Sparse Representation of Gaussian Molecular Surface	2019-09-19	Paper
Finite Element Modeling of Biomolecular Systems in Ionic Solution	2018-10-15	Paper
https://portal.mardi4nfdi.de/entity/Q4641240	2018-05-25	Paper
Efficient and Qualified Mesh Generation for Gaussian Molecular Surface Using Adaptive Partition and Piecewise Polynomial Approximation	2018-04-25	Paper
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	2018-04-11	Paper
A Fast Direct Solver for a Class of 3-D Elliptic Partial Differential Equation with Variable Coefficient	2017-10-27	Paper
Mathematical and Numerical Aspects of the Adaptive Fast Multipole Poisson-Boltzmann Solver	2017-10-27	Paper
Automated Parallel and Body-Fitted Mesh Generation in Finite Element Simulation of Macromolecular Systems	2017-10-27	Paper
AFMPB: an adaptive fast multipole Poisson-Boltzmann solver for calculating electrostatics in biomolecular systems	2016-11-11	Paper
https://portal.mardi4nfdi.de/entity/Q2824751	2016-10-06	Paper
Parallel AFMPB solver with automatic surface meshing for calculation of molecular solvation free energy	2016-09-13	Paper
Stabilized finite element methods to simulate the conductances of ion channels	2016-09-08	Paper
A local approximation of fundamental measure theory incorporated into three dimensional Poisson-Nernst-Planck equations to account for hard sphere repulsion among ions	2016-05-25	Paper
Parallel Adaptive Finite Element Algorithms for Solving the Coupled Electro-diffusion Equations	2013-12-05	Paper
An Error Analysis for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations	2013-05-08	Paper
AFMPB: an adaptive fast multipole Poisson-Boltzmann solver for calculating electrostatics in biomolecular systems	2011-05-31	Paper
``New-version-fast-multipole-method accelerated electrostatic calculations in biomolecular sys\-tems	2007-11-01	Paper
A simulation method of combinding boundary element method with generalized Langevin dynamics	2001-07-26	Paper

Research outcomes over time

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