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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：122/0  |  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 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：182/0  |  提交时间：2021/01/14
Poisson-Nernst-Planck  Stabilized finite element method  SUPG  interior penalty  
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：171/0  |  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：152/0  |  提交时间：2021/01/14
Quadrature  tetrahedral mesh  curved surface  extended finite element  high order  
A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 4, 页码: 556-578
作者:  Yang, Ying;  Lu, Benzhuo;  Xie, Yan
收藏  |  浏览/下载：129/0  |  提交时间：2020/05/24
Poisson-Nernst-Planck equations  Two-grid finite element method  Decoupling method  Error analysis  Gummel iteration  
Multiscale Hybrid-Mixed Finite Element Method for Flow Simulation in Fractured Porous Media 期刊论文
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2019, 卷号: 119, 期号: 1, 页码: 145-163
作者:  Devloo, Philippe;  Teng, Wenchao;  Zhang, Chen-Song
收藏  |  浏览/下载：173/0  |  提交时间：2020/01/10
Fracture simulation  discrete fracture model  multiscale hybrid finite element  mixed formulation  
Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients 期刊论文
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2019, 卷号: 119, 期号: 1, 页码: 35-62
作者:  Lundberg, Andrew;  Sun, Pengtao;  Wang, Cheng;  Zhang, Chen-song
收藏  |  浏览/下载：171/0  |  提交时间：2020/01/10
Transient Stokes interface problem  jump coefficients  distributed Lagrange multiplier  fictitious domain method  mixed finite element  an optimal error estimate  stability  
Numerical simulation of an immersed rotating structure in fluid for hemodynamic applications 期刊论文
JOURNAL OF COMPUTATIONAL SCIENCE, 2019, 卷号: 30, 页码: 79-89
作者:  Leng, Wei;  Zhang, Chen-Song;  Sun, Pengtao;  Gao, Bin;  Xu, Jinchao
收藏  |  浏览/下载：170/0  |  提交时间：2019/03/11
Artificial heart pump  Fluid-structure interactions  Monolithic method  Arbitrary Lagrangian-Eulerian formulation  Mixed finite element  
A fully divergence-free finite element method for magnetohydrodynamic equations 期刊论文
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2018, 卷号: 28, 期号: 4, 页码: 659-695
作者:  Hiptmair, Ralf;  Li, Lingxiao;  Mao, Shipeng;  Zheng, Weiying
收藏  |  浏览/下载：173/0  |  提交时间：2018/07/30
Magnetohydrodynamic equations  divergence-free finite element method  preconditioner  magnetic vector potential  driven cavity flow  
A Finite Element Solution of Lateral Periodic Poisson-Boltzmann Model for Membrane Channel Proteins 期刊论文
INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES, 2018, 卷号: 19, 期号: 3, 页码: 17
作者:  Ji, Nan;  Liu, Tiantian;  Xu, Jingjie;  Shen, Longzhu Q.;  Lu, Benzhuo
收藏  |  浏览/下载：172/0  |  提交时间：2018/07/30
laterally periodic Poisson-Boltzmann model  finite element method  membrane channel proteins  pore region  solvation