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Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019, 页码: 22
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载：157/0  |  提交时间：2020/01/10
Helmholtz equation  nonhomogeneous  variable wave numbers  generalized plane wave  local spectral elements  error estimates  
Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 卷号: 25, 期号: 5, 页码: 1496-1522
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载：171/0  |  提交时间：2019/03/05
Time-harmonic Maxwell's equations  anisotropic media  plane-wave basis  error estimates  nonhomogeneous  
A Two-Steps Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2018, 卷号: 11, 期号: 3, 页码: 453-476
作者:  Hu, Qiya;  Zhao, Lin
收藏  |  浏览/下载：183/0  |  提交时间：2018/09/08
Nonhomogeneous Helmholtz equation  inhomogeneous media  plane wave method  discontinuous Galerkin method  errors  preconditioner  
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：155/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equation  Optimal error estimates  Charge conservation law  Local discontinuous Galerkin method  Generalized alternating numerical flux  
atwostepsmethodbasedonplanewavefornonhomogeneoushelmholtzequationsininhomogeneousmedia 期刊论文
numericalmathematicstheorymethodsandapplications, 2018, 卷号: 11, 期号: 3, 页码: 453
作者:  Hu Qiya;  Zhao Lin
收藏  |  浏览/下载：152/0  |  提交时间：2020/01/10
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  
Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrodinger equation 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2017, 卷号: 37, 期号: 2, 页码: 1041-1065
作者:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
symplectic method  local discontinuous Galerkin method  stochastic linear Schrodinger equation  L-2-stability  charge conservation law  mean-square convergence  
SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 5, 页码: 2664-2684
作者:  Huang, Qiumei;  Xie, Hehu;  Brunner, Hermann
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
pantograph delay differential equation  vanishing proportional delay  discontinuous Galerkin method  interpolation and iteration postprocessing  superconvergence  
Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 卷号: 200, 期号: 21-22, 页码: 1747-1756
作者:  Ahmed, N.;  Matthies, G.;  Tobiska, L.;  Xie, H.
收藏  |  浏览/下载：144/0  |  提交时间：2018/07/30
Discontinuous Galerkin  Stabilized finite elements  Convection-diffusion-reaction equation  
DISCONTINUOUS GALERKIN METHODS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 48, 期号: 5, 页码: 1944-1967
作者:  Brunner, Hermann;  Huang, Qiumei;  Xie, Hehu
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
pantograph delay differential equations  vanishing proportional delay  discontinuous Galerkin method  optimal order of superconvergence