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Deep Domain Decomposition Methods: Helmholtz Equation 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2023, 卷号: 15, 期号: 1, 页码: 118-138
Authors:  Li, Wuyang;  Wang, Ziming;  Cui, Tao;  Xu, Yingxiang;  Xiang, Xueshuang
Favorite  |  View/Download：4/0  |  Submit date：2023/02/07
Helmholtz equation  deep learning  domain decomposition method  plane wave method  
Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 卷号: 97, 页码: 355-374
Authors:  Yuan, Long;  Hu, Qiya
Favorite  |  View/Download：50/0  |  Submit date：2022/04/02
Helmholtz equation  Time-harmonic Maxwell's equations  Anisotropic media  Plane wave basis  Error estimates  
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：111/0  |  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：120/0  |  Submit date：2019/03/05
Time-harmonic Maxwell's equations  anisotropic media  plane-wave basis  error estimates  nonhomogeneous  
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：107/0  |  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：96/0  |  Submit date：2019/03/05
Electromagnetic wave  plane wave least-squares  ultra weak variational formulation  anisotropic media  plane-wave basis  error estimates  
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：98/0  |  Submit date：2018/07/30
Helmholtz equation  Time-harmonic Maxwell equations  Nonhomogeneous  Local spectral element  Plane wave basis functions  Error estimates  
A parallel orbital-updating based plane-wave basis method for electronic structure calculations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 348, 页码: 482-492
Authors:  Pan, Yan;  Dai, Xiaoying;  de Gironcoli, Stefano;  Gong, Xin-Gao;  Rignanese, Gian-Marco;  Zhou, Aihui
Favorite  |  View/Download：81/0  |  Submit date：2018/07/30
Density functional theory  Electronic structure  Plane-wave  Parallel orbital-updating  
EFFICIENT MULTILEVEL PRECONDITIONERS FOR THREE-DIMENSIONAL PLANE WAVE HELMHOLTZ SYSTEMS WITH LARGE WAVE NUMBERS 期刊论文
MULTISCALE MODELING & SIMULATION, 2017, 卷号: 15, 期号: 3, 页码: 1242-1266
Authors:  Hu, Qiya;  Li, Xuan
Favorite  |  View/Download：84/0  |  Submit date：2018/07/30
Helmholtz equation  large wave numbers  plane wave methods  overlapping domain decomposition  multilevel preconditioners  3-level smoothers