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Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 卷号: 419, 页码: 22
作者:  Long, Xiaonian;  Ding, Qianqian;  Mao, Shipeng
收藏  |  浏览/下载：89/0  |  提交时间：2023/02/07
Inductionless magnetohydrodynamics  Current density conservation  Euler semi-implicit  Error estimate  Mixed finite element method  
Time decay rate of solutions toward the viscous shock waves to the Cauchy problem for the scalar conservation law with nonlinear viscosity and discontinuous initial data 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 卷号: 222, 页码: 14
作者:  Liu, Yechi
收藏  |  浏览/下载：82/0  |  提交时间：2023/02/07
Viscous conservation law  Asymptotic behavior  Time decay rate  Viscous shock wave  Discontinuous initial data  
A low-dissipation third-order weighted essentially nonoscillatory scheme with a new reference smoothness indicator 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2020, 卷号: 92, 期号: 9, 页码: 1212-1234
作者:  Wang, Yahui;  Du, Yulong;  Zhao, Kunlei;  Yuan, Li
收藏  |  浏览/下载：137/0  |  提交时间：2020/09/23
Euler equation  hyperbolic conservation law  nonlinear weight  reference smoothness indicator  third-order accuracy  WENO  
A new 6th-order WENO scheme with modified stencils 期刊论文
COMPUTERS & FLUIDS, 2020, 卷号: 208, 页码: 16
作者:  Wang, Yahui;  Du, Yulong;  Zhao, Kunlei;  Yuan, Li
收藏  |  浏览/下载：124/0  |  提交时间：2020/11/18
WENO scheme  Sixth-order accuracy  Modified stencil  Hyperbolic conservation law  
Numerical simulations of polymer flooding process in porous media on distributed-memory parallel computers 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 400, 页码: 23
作者:  Zhong, He;  Liu, Hui;  Cui, Tao;  Chen, Zhangxin;  Shen, Lihua;  Yang, Bo;  He, Ruijian;  Guo, Xiaohu
收藏  |  浏览/下载：147/0  |  提交时间：2020/05/24
High performance computing  Polymer flooding  Water flooding  Speedup  
Modified Stencil Approximations for Fifth-Order Weighted Essentially Non-oscillatory Schemes 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 2, 页码: 898-922
作者:  Wang, Yahui;  Du, Yulong;  Zhao, Kunlei;  Yuan, Li
收藏  |  浏览/下载：132/0  |  提交时间：2020/05/24
WENO scheme  Stencil approximation order  Smoothness indicator  Hyperbolic conservation law  Euler equation  
Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 1, 页码: 248-267
作者:  Fang, Zhiwei;  Li, Jichun;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：159/0  |  提交时间：2020/01/10
Maxwell's equations  Finite element method  Random inputs  Polynomial chaos methods  Stochastic Galerkin  
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：142/0  |  提交时间：2018/07/30
Polycrystalline cluster  Dynamical equation  Damping coefficient  Two-scale homogenization method  Atomic-Continuum Coupled Model  
Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 127, 页码: 164-178
作者:  Hong, Jialin;  Ji, Lihai;  Liu, Zhihui
收藏  |  浏览/下载：156/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equation  Optimal error estimates  Charge conservation law  Local discontinuous Galerkin method  Generalized alternating numerical flux  
Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 1, 页码: 114-143
作者:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun;  Zhang, Huai
收藏  |  浏览/下载：156/0  |  提交时间：2018/07/30
Multisymplectic formulation  Hamiltonian PDEs  local discontinuous Galerkin method  numerical flux  conservation law