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Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1705-1719
作者:  Zhao, Yanmin;  Wang, Fenling;  Hu, Xiaohan;  Shi, Zhengguang;  Tang, Yifa
收藏  |  浏览/下载：188/0  |  提交时间：2020/01/10
Multi-term time-fractional mixed diffusion-wave equations  Linear triangle finite element  L1 time-stepping method  Crank-Nicolson scheme  Unconditional stability  Convergence and superconvergence  
A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1288-1301
作者:  Wang, Fenling;  Zhao, Yanmin;  Chen, Chen;  Wei, Yabing;  Tang, Yifa
收藏  |  浏览/下载：181/0  |  提交时间：2020/01/10
Time-fractional diffusion equations  Variable coefficient  Quasi-Wilson nonconforming anisotropic finite element  L2-1(sigma) formula  Stability  Superclose and superconvergence  
ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 卷号: 16, 期号: 3, 页码: 412-435
作者:  Wang, Kun;  Wong, Yau Shu;  Huang, Jizu
收藏  |  浏览/下载：178/0  |  提交时间：2019/04/02
Helmholtz equation  error estimate  finite difference method  polar and spherical coordinates  pollution-free scheme  
Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 338, 页码: 290-304
作者:  Shi, Z. G.;  Zhao, Y. M.;  Liu, F.;  Wang, F. L.;  Tang, Y. F.
收藏  |  浏览/下载：204/0  |  提交时间：2018/10/07
Multi-term time fractional diffusion-wave equation  Nonconforming quasi-Wilson finite element  Crank-Nicolson scheme  Superclose and superconvergence  Anisotropic meshes  
A Positivity-Preserving Finite Volume Scheme for Heat Conduction Equation on Generalized Polyhedral Meshes 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 5, 页码: 1375-1408
作者:  Xie, Hui;  Xu, Xuejun;  Zhai, Chuanlei;  Yong, Heng
收藏  |  浏览/下载：171/0  |  提交时间：2019/03/05
Heat conduction  anisotropic diffusion tensor  distorted mesh  positivity-preserving  cell-centered scheme  vertex elimination  
The dynamics of conservative peakons in a family of U(1)-invariant integrable equations of NLS-Hirota type 期刊论文
STUDIES IN APPLIED MATHEMATICS, 2018, 卷号: 141, 期号: 4, 页码: 680-713
作者:  Anco, Stephen C.;  Chang, Xiangke;  Szmigielski, Jacek
收藏  |  浏览/下载：148/0  |  提交时间：2019/01/11
inverse problems  Pade approximations  peakons  tri-Hamiltonian  weak solutions  
Spatial High Accuracy Analysis of FEM for Two-dimensional Multi-term Time-fractional Diffusion-wave Equations 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 卷号: 34, 期号: 4, 页码: 828-841
作者:  Wei, Ya-bing;  Zhao, Yan-min;  Shi, Zheng-guang;  Wang, Fen-ling;  Tang, Yi-fa
收藏  |  浏览/下载：216/0  |  提交时间：2018/11/16
multi-term time-fractional diffusion-wave equation  bilinear finite element method  Crank-Nicolson approximation  stability  convergence and superconvergence  
Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection-Diffusion Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 76, 期号: 1, 页码: 48-68
作者:  Di, Yana;  Xie, Hehu;  Yin, Xiaobo
收藏  |  浏览/下载：203/0  |  提交时间：2018/07/30
Convection-diffusion equation  Stabilization parameter  SUPG  Anisotropic mesh  
Macroscopic damping model for structural dynamics with random polycrystalline configurations 期刊论文
ACTA MECHANICA SINICA, 2018, 卷号: 34, 期号: 3, 页码: 493-506
作者:  Yang, Yantao;  Cui, Junzhi;  Yu, Yifan;  Xiang, Meizhen
收藏  |  浏览/下载：149/0  |  提交时间：2018/07/30
Polycrystalline cluster  Dynamical equation  Damping coefficient  Two-scale homogenization method  Atomic-Continuum Coupled Model  
spatialhighaccuracyanalysisoffemfortwodimensionalmultitermtimefractionaldiffusionwaveequations 期刊论文
actamathematicaeapplicataesinica, 2018, 卷号: 34, 期号: 4, 页码: 828
作者:  Wei Yabing;  Zhao Yanmin;  Shi Zhengguang;  Wang Fenling;  Tang Yifa
收藏  |  浏览/下载：160/0  |  提交时间：2020/01/10