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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  
DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 4, 页码: 561-578
Authors:  Li, Ruo;  Ming, Pingbing;  Sun, Zhiyuan;  Yang, Fanyi;  Yang, Zhijian
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Least-squares problem  Reconstructed basis function  Discontinuous Galerkin method  Biharmonic problem  
Application of local discontinuous Galerkin method to Einstein equations 期刊论文
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2019, 卷号: 28, 期号: 1, 页码: 26
Authors:  Cao, Zhoujian;  Fu, Pei;  Ji, Li-Wei;  Xia, Yinhua
Favorite  |  View/Download:3/0  |  Submit date:2019/03/05
Numerical relativity  Einstein equation  gravitational wave  
A (CIP)-I-0 method of transmission eigenvalues for elastic waves 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 374, 页码: 237-248
Authors:  Xi, Yingxia;  Ji, Xia;  Geng, Hongrui
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Transmission eigenvalue problem  Elastic wave equation  Discontinuous Galerkin method  
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
Authors:  Hu, Qiya;  Zhao, Lin
Favorite  |  View/Download:4/0  |  Submit date:2018/09/08
Nonhomogeneous Helmholtz equation  inhomogeneous media  plane wave method  discontinuous Galerkin method  errors  preconditioner  
High order well-balanced discontinuous Galerkin methods for Euler equations at isentropic equilibrium state under gravitational fields 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 329, 页码: 23-37
Authors:  Qian, Shouguo;  Liu, Yu;  Li, Gang;  Yuan, Li
Favorite  |  View/Download:3/0  |  Submit date:2018/07/30
Euler equations  Isentropic equilibrium state  Discontinuous Galerkin methods  Well-balanced property  Gravitational fields  
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
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Nonlinear Schrodinger equation  Optimal error estimates  Charge conservation law  Local discontinuous Galerkin method  Generalized alternating numerical flux  
Well-balanced discontinuous Galerkin method and finite volume WENO scheme based on hydrostatic reconstruction for blood flow model in arteries 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2018, 卷号: 86, 期号: 7, 页码: 491-508
Authors:  Li, Gang;  Delestre, Olivier;  Yuan, Li
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blood flow model  discontinuous Galerkin method  finite volume WENO scheme  hydrostatic reconstruction  source term  well-balanced property  
A NEW HDG METHOD FOR DIRICHLET BOUNDARY CONTROL OF CONVECTION DIFFUSION PDEs II: LOW REGULARITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2262-2287
Authors:  Gong, Wei;  Hu, Weiwei;  Mateos, Mariano;  Singler, John;  Zhang, Xiao;  Zhang, Yangwen
Favorite  |  View/Download:11/0  |  Submit date:2018/10/07
Dirichlet boundary control  hybridizable discontinuous Galerkin method (HDG)  error analysis  low regularity  convection diffusion  
Adaptive finite element method for parabolic equations with Dirac measure 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 328, 页码: 217-241
Authors:  Gong, Wei;  Liu, Huipo;  Yan, Ningning
Favorite  |  View/Download:9/0  |  Submit date:2018/07/25
Parabolic equation  Dirac measure  Adaptive finite element method  Space-time discretization  A posteriori error estimates