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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
Authors:  Zhang, Qianru;  Tu, Bin;  Fang, Qiaojun;  Lu, Benzhuo
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Structure-preserving finite element discretization  Nernst-Planck equation  Scharfetter-Gummel approximation  Jordan-Kinderlehrer-Otto scheme  
Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 卷号: 55, 期号: 1, 页码: 209-227
Authors:  Yang, Bin;  Zhou, Aihui
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Adaptive finite element approximation  complexity  convergence  nonlinear eigenvalue problem  non-polynomial behavior  unique continuation property  
Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations 期刊论文
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2021, 页码: 15
Authors:  Liu, Xuefeng;  Nakao, Mitsuhiro T.;  You, Chun'guang;  Oishi, Shin'ichi
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Stokes equation  A posteriori error estimation  A priori error estimation  Finite element method  Hypercircle method  Eigenvalue problem  
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
Authors:  Zhang, Qianru;  Gui, Sheng;  Li, Hongliang;  Lu, Benzhuo
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Reduced model  Poisson-Nernst-Planck  Smoluchowski-Poisson-Boltzmann  Initialization  Linear approximation of PNP model  Finite element method  
A locking free numerical approximation for quasilinear poroelasticity problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2020, 卷号: 80, 期号: 6, 页码: 1538-1554
Authors:  Zhang, Jingyuan;  Zhou, Chenguang;  Cao, Yanzhao;  Meir, A. J.
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Poroelasticity  Dilatation-dependent permeability  Volumetric stress formulation  Weak Galerkin mixed finite element method  Finite element method  
A High Accuracy Nonconforming Finite Element Scheme for Helmholtz Transmission Eigenvalue Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 卷号: 83, 期号: 3, 页码: 20
Authors:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
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Nonconforming finite element method  Transmission eigenvalues  High accurary  
Space-time finite element method for the distributed-order time fractional reaction diffusion equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2020, 卷号: 152, 页码: 446-465
Authors:  Bu, Weiping;  Ji, Lun;  Tang, Yifa;  Zhou, Jie
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Distributed-order reaction diffusion equation  Space-time finite element method  Graded time mesh  Well-posedness  Error estimate  Sum-of-exponentials approximation  
Superconvergence Analysis of Anisotropic FEMs for Time Fractional Variable Coefficient Diffusion Equations 期刊论文
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 页码: 19
Authors:  Wei, Yabing;  Zhao, Yanmin;  Wang, Fenling;  Tang, Yifa;  Yang, Jiye
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L2-1(sigma) approximation  Anisotropic meshes  Time fractional variable coefficient diffusion equations  Convergence and superconvergence  
Second-Order Asymptotic Analysis and Computations of Axially and Spherically Symmetric Piezoelectric Problems for Composite Structures 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 2, 页码: 689-731
Authors:  Ma, Qiang;  Wang, Hao;  Yang, Zhiqiang;  Li, Zhihui;  Cui, Junzhi
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Axially and spherically symmetric piezoelectricity  Periodic composite materials  Multi-scale expansion homogenization method  Second-order asymptotic approximation  Finite element simulation  
A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 卷号: 356, 页码: 435-464
Authors:  Yang, Jinjin;  Mao, Shipeng;  He, Xiaoming;  Yang, Xiaofeng;  He, Yinnian
Favorite  |  View/Download:33/0  |  Submit date:2020/01/10
Two-phase MHD flows  Diffuse interface models  Finite element method  Energy stability  Semi-implicit scheme