Search Results

• A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications

  Xinyu Liu, Jie Shen, Xiangxiong Zhang

  2024-12-02

  16999 1355 Pages:1157-1185

• Poisson-Boltzmann Theory of Bionanosystems

  A. Sayyed-Ahmad, Y. Miao & P. Ortoleva

  2008-03-01

  39514 4265 Pages:1100-1116

• Phase-Field-Based Axisymmetric Lattice Boltzmann Method for Two-Phase Electro-Hydrodynamic Flows

  Xi Liu, Zhenhua Chai, Baochang Shi

  2021-10-26

  48246 3383 Pages:1346-1369

• A Novel Efficient Numerical Solution of Poisson's Equation for Arbitrary Shapes in Two Dimensions

  Zu-Hui Ma, Weng Cho Chew & Li Jun Jiang

  2020-07-30

  42170 3431 Pages:1381-1404

• The Geometry Behind Numerical Solvers of the Poisson-Boltzmann Equation

  Xinwei Shi & Patrice Koehl

  2008-03-01

  40348 4171 Pages:1032-1050

• An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations

  Ruigang Shen, Qianru Zhang, Benzhuo Lu

  2024-09-06

  19661 1568 Pages:521-550

• Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations

  Lei Li, Jian-Guo Liu, Yijia Tang

  2022-07-06

  43668 3690 Pages:41-82

• DASHMM Accelerated Adaptive Fast Multipole Poisson-Boltzmann Solver on Distributed Memory Architecture

  Bo Zhang, Jackson DeBuhr, Drake Niedzielski, Silvio Mayolo, Benzhuo Lu & Thomas Sterling

  2018-12-08

  48554 3314 Pages:1235-1258

• Point Integral Method for Solving Poisson-Type Equations on Manifolds from Point Clouds with Convergence Guarantees

  Zhen Li, Zuoqiang Shi, Jian Sun

  2019-10-31

  42172 4227 Pages:228-258

• Exact Artificial Boundary Condition for the Poisson Equation in the Simulation of the 2D Schrödinger-Poisson System

  Norbert J. Mauser & Yong Zhang

  2014-12-08

  39792 4238 Pages:764-780

• MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

  Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma

  2022-08-11

  307095 3600 Pages:299-335

• Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation

  Jing-Mei Qiu & Chi-Wang Shu

  2011-10-01

  40760 4280 Pages:979-1000

• Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains

  C. S. Chen & Andreas Karageorghis

  2018-09-01

  45672 5155 Pages:41-67

• Discontinuous Bubble Immersed Finite Element Method for Poisson-Boltzmann Equation

  In Kwon & Do Y. Kwak

  2018-11-09

  48156 3449 Pages:928-946

• Numerical Simulations for the Quasi-3D Fluid Streamer Propagation Model: Methods and Applications

  Chijie Zhuang, Mengmin Huang & Rong Zeng

  2020-07-31

  43287 3294 Pages:1259-1278

• Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation

  Peimeng Yin, Yunqing Huang & Hailiang Liu

  2018-07-03

  46319 4991 Pages:168-197

• An Adaptive, Finite Difference Solver for the Nonlinear Poisson-Boltzmann Equation with Applications to Biomolecular Computations

  Mohammad Mirzadeh, Maxime Theillard, Asdís Helgadóttir, David Boy & Frédéric Gibou

  2013-01-05

  40810 4537 Pages:150-173

• Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation

  M. Holst, J. A. McCammon, Z. Yu, Y. C. Zhou & Y. Zhu

  2012-11-01

  40113 4341 Pages:179-214

• Modeling Salt Dependence of Protein-Protein Association: Linear vs Non-Linear Poisson-Boltzmann Equation

  Kemper Talley, Petras Kundrotas & Emil Alexov

  2008-03-01

  40556 4372 Pages:1071-1086

• Recent Progress in Numerical Methods for the Poisson-Boltzmann Equation in Biophysical Applications

  B. Z. Lu, Y. C. Zhou, M. J. Holst & J. A. McCammon

  2008-03-01

  45241 5392 Pages:973-1009 Open-access

• A High-Accurate Fast Poisson Solver Based on Harmonic Surface Mapping Algorithm

  Jiuyang Liang, Pei Liu, Zhenli Xu

  2021-04-30

  50319 4739 Pages:210-226

• A Variational Model for Two-Phase Immiscible Electroosmotic Flow at Solid Surfaces

  Sihong Shao & Tiezheng Qian

  2012-11-01

  42130 3942 Pages:831-862

• A Fourth Order Numerical Method for the Primitive Equations Formulated in Mean Vorticity

  Jian-Guo Liu & Cheng Wang

  2008-04-01

  38823 4248 Pages:26-55

• Conservative Finite-Difference Scheme and Two-Stage Iteration Process of Its Realization for the 2D Problem of Semiconductor Plasma Generation by Femtosecond Pulse

  Vyacheslav A. Trofimov, Maria M. Loginova & Vladimir A. Egorenkov

  2018-08-21

  45826 3512 Pages:1512-1533

• An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

  Peimeng Yin, Yunqing Huang & Hailiang Liu

  2014-08-03

  42307 4129 Pages:491-515

• Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap

  Antonio Raudino, Antonio Grassi, Giuseppe Lombardo, Giovanni Russo, Clarissa Astuto, Mario Corti

  2022-03-03

  45557 3174 Pages:707-738

• Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains

  Ziqi Liu, Wei Cai, Zhi-Qin John Xu

  2020-11-18

  73856 3682 Pages:1970-2001