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科研机构
数学与系统科学研究院 [9]
内容类型
期刊论文 [9]
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2023 [1]
2021 [1]
2019 [2]
2018 [3]
2017 [2]
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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
作者:
Li, Wuyang
;
Wang, Ziming
;
Cui, Tao
;
Xu, Yingxiang
;
Xiang, Xueshuang
收藏
  |  
浏览/下载:15/0
  |  
提交时间: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
作者:
Yuan, Long
;
Hu, Qiya
收藏
  |  
浏览/下载:5/0
  |  
提交时间: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
作者:
Yuan, Long
;
Hu, Qiya
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  |  
浏览/下载:24/0
  |  
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
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  |  
浏览/下载:35/0
  |  
提交时间: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
作者:
Yuan, Long
;
Hu, Qiya
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  |  
浏览/下载:27/0
  |  
提交时间: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
作者:
Yuan, Long
;
Hu, Qiya
收藏
  |  
浏览/下载:24/0
  |  
提交时间: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
作者:
Hu, Qiya
;
Yuan, Long
收藏
  |  
浏览/下载:23/0
  |  
提交时间: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
作者:
Pan, Yan
;
Dai, Xiaoying
;
de Gironcoli, Stefano
;
Gong, Xin-Gao
;
Rignanese, Gian-Marco
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  |  
浏览/下载:13/0
  |  
提交时间: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
作者:
Hu, Qiya
;
Li, Xuan
收藏
  |  
浏览/下载:21/0
  |  
提交时间:2018/07/30
Helmholtz equation
large wave numbers
plane wave methods
overlapping domain decomposition
multilevel preconditioners
3-level smoothers
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