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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
Authors:  Yuan, Long;  Hu, Qiya
Favorite  |  View/Download:0/0  |  Submit date: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
Authors:  Yuan, Long;  Hu, Qiya
Favorite  |  View/Download:5/0  |  Submit date:2019/03/05
Time-harmonic Maxwell's equations  anisotropic media  plane-wave basis  error estimates  nonhomogeneous  
ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR THE MAXWELL-SCHRODINGER SYSTEM IN THE COULOMB GAUGE 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 卷号: 16, 期号: 1, 页码: 139-166
Authors:  Ma, Chupeng;  Cao, Liqun;  Huang, Jizu
Favorite  |  View/Download:4/0  |  Submit date:2019/04/02
Maxwell-Schrodinger  finite element method  energy conserving  error estimates  
Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 卷号: 344, 页码: 323-345
Authors:  Yuan, Long;  Hu, Qiya
Favorite  |  View/Download:10/0  |  Submit date:2018/09/08
Helmholtz equation  Time-harmonic Maxwell's equations  Well posedness  Electromagnetic wave  Plane wave basis  Error estimates  
The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2018, 卷号: 10, 期号: 5, 页码: 1126-1157
Authors:  Yuan, Long;  Hu, Qiya
Favorite  |  View/Download:5/0  |  Submit date:2019/03/05
Electromagnetic wave  plane wave least-squares  ultra weak variational formulation  anisotropic media  plane-wave basis  error estimates  
Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2018, 卷号: 38, 期号: 4, 页码: 2074-2104
Authors:  Ma, Chupeng;  Cao, Liqun;  Lin, Yanping
Favorite  |  View/Download:6/0  |  Submit date:2019/01/11
error estimates  Crank-Nicolson  Galerkin method  Maxwell-Schrodinger  
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
Authors:  Hong, Jialin;  Ji, Lihai;  Liu, Zhihui
Favorite  |  View/Download:6/0  |  Submit date:2018/07/30
Nonlinear Schrodinger equation  Optimal error estimates  Charge conservation law  Local discontinuous Galerkin method  Generalized alternating numerical flux  
A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2018, 卷号: 44, 期号: 1, 页码: 245-275
Authors:  Hu, Qiya;  Yuan, Long
Favorite  |  View/Download:5/0  |  Submit date:2018/07/30
Helmholtz equation  Time-harmonic Maxwell equations  Nonhomogeneous  Local spectral element  Plane wave basis functions  Error estimates  
EXPLICIT theta-SCHEMES FOR MEAN-FIELD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2672-2697
Authors:  Sun, Yabing;  Zhao, Weidong;  Zhou, Tao
Favorite  |  View/Download:4/0  |  Submit date:2018/10/07
mean-field backward stochastic differential equation  theta-schemes  error estimates  
OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 5, 页码: 693-717
Authors:  Wang, Fei;  Zhang, Shuo
Favorite  |  View/Download:3/0  |  Submit date:2019/03/05
Interface problems  Extended finite element methods  Error estimates  Nitsche's scheme  Quadratic element