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A structure-preserving finite element discretization for the time-dependent Nernst-Planck equation 期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 页码: 20
作者:  Zhang, Qianru;  Tu, Bin;  Fang, Qiaojun;  Lu, Benzhuo
收藏  |  浏览/下载：122/0  |  提交时间：2021/10/26
Structure-preserving finite element discretization  Nernst-Planck equation  Scharfetter-Gummel approximation  Jordan-Kinderlehrer-Otto scheme  
An advanced ALE-mixed finite element method for a cardiovascular fluid-structure interaction problem with multiple moving interfaces 期刊论文
JOURNAL OF COMPUTATIONAL SCIENCE, 2021, 卷号: 50, 页码: 13
作者:  Sun, Pengtao;  Zhang, Chen-Song;  Lan, Rihui;  Li, Lin
收藏  |  浏览/下载：114/0  |  提交时间：2022/04/02
Arbitrary Lagrangian-Eulerian (ALE) mapping  Mixed finite element method  Fluid-structure interaction (FSI)  Cardiovascular environment  Saddle-point linear algebraic system  Multi-domain  interface interactions  Vascular aneurysm  Endovascular stent graft  
A Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz Equation 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 2, 页码: 357-398
作者:  Leng, Wei;  Ju, Lili
收藏  |  浏览/下载：129/0  |  提交时间：2021/04/26
Helmholtz equation  domain decomposition method  diagonal sweeping  perfectly matched layer  source transfer  parallel computing  
A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations 期刊论文
APPLIED MATHEMATICS LETTERS, 2021, 卷号: 111, 页码: 9
作者:  Wang, Qin;  Li, Hongliang;  Zhang, Linbo;  Lu, Benzhuo
收藏  |  浏览/下载：180/0  |  提交时间：2021/01/14
Poisson-Nernst-Planck  Stabilized finite element method  SUPG  interior penalty  
NUMERICAL INVESTIGATION OF ENSEMBLE METHODS WITH BLOCK ITERATIVE SOLVERS FOR EVOLUTION PROBLEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 卷号: 25, 期号: 12, 页码: 4905-4923
作者:  Ju, Lili;  Leng, Wei;  Wang, Zhu;  Yuan, Shuai
收藏  |  浏览/下载：199/0  |  提交时间：2021/01/14
Ensemble method  ensemble-based time stepping  block CG  block GMRES  iterative linear solver  
Model reduction-based initialization methods for solving the Poisson-Nernst-Plank equations in three-dimensional ion channel simulations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 419, 页码: 18
作者:  Zhang, Qianru;  Gui, Sheng;  Li, Hongliang;  Lu, Benzhuo
收藏  |  浏览/下载：149/0  |  提交时间：2021/04/26
Reduced model  Poisson-Nernst-Planck  Smoluchowski-Poisson-Boltzmann  Initialization  Linear approximation of PNP model  Finite element method  
Optimal quadratic element on rectangular grids for H-1 problems 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 25
作者:  Zeng, Huilan;  Zhang, Chen-Song;  Zhang, Shuo
收藏  |  浏览/下载：180/0  |  提交时间：2020/10/12
Optimal quadratic element  Rectangular grids  Boundary value problem  Eigenvalue problem  Lower bound  
Interface-penalty finite element methods for interface problems in H-1, H(curl), and H(div) 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 卷号: 367, 页码: 16
作者:  Liu, Huaqing;  Zhang, Linbo;  Zhang, Xiaodi;  Zheng, Weiying
收藏  |  浏览/下载：167/0  |  提交时间：2020/10/12
Interface problem  Unfitted mesh  Interface-penalty finite element method  Maxwell's equation  Nitsche's method  
High-order Numerical Quadratures in a Tetrahedron with an Implicitly Defined Curved Interface 期刊论文
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2020, 卷号: 46, 期号: 1, 页码: 18
作者:  Cui, Tao;  Leng, Wei;  Liu, Huaqing;  Zhang, Linbo;  Zheng, Weiying
收藏  |  浏览/下载：141/0  |  提交时间：2021/01/14
Quadrature  tetrahedral mesh  curved surface  extended finite element  high order  
Study of Restrained Network Structures for Wasserstein Generative Adversarial Networks (WGANs) on Numeric Data Augmentation 期刊论文
IEEE ACCESS, 2020, 卷号: 8, 页码: 89812-89821
作者:  Wang, Wei;  Wang, Chuang;  Cui, Tao;  Li, Yue
收藏  |  浏览/下载：146/0  |  提交时间：2020/09/23
Gallium nitride  Generative adversarial networks  Tensile stress  Generators  Indexes  Training  Numerical models  Restrained network structures  generative adversarial network  numeric data augmentation