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科研机构
数学与系统科学研究... [40]
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期刊论文 [40]
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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
An efficient cascadic multigrid solver for 3-D magnetotelluric forward modelling problems using potentials
期刊论文
GEOPHYSICAL JOURNAL INTERNATIONAL, 2022, 卷号: 230, 期号: 3, 页码: 1834-1851
作者:
Pan, Kejia
;
Wang, Jinxuan
;
Hu, Shuanggui
;
Ren, Zhengyong
;
Cui, Tao
收藏
  |  
浏览/下载:5/0
  |  
提交时间:2023/02/07
Electrical properties
Magnetotellurics
Numerical modelling
Numerical solutions
Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: Algorithms and convergence analysis
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 455, 页码: 29
作者:
Leng, Wei
;
Ju, Lili
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  |  
浏览/下载:13/0
  |  
提交时间:2022/04/29
Domain decomposition method
Diagonal sweeping
Helmholtz equation
Perfectly matched layer
Trace transfer
Parallel computing
An efficient neural network method with plane wave activation functions for solving Helmholtz equation
期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 卷号: 111, 页码: 34-49
作者:
Cui, Tao
;
Wang, Ziming
;
Xiang, Xueshuang
收藏
  |  
浏览/下载:0/0
  |  
提交时间:2023/02/07
Helmholtz equation
Deep learning
Finite difference 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
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  |  
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
Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods
期刊论文
NUMERISCHE MATHEMATIK, 2021, 页码: 30
作者:
Xu, Liwei
;
Yin, Tao
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  |  
浏览/下载:28/0
  |  
提交时间:2021/04/26
35J25
65N30
74F10
A Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz Equation
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 2, 页码: 357-398
作者:
Leng, Wei
;
Ju, Lili
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2021/04/26
Helmholtz equation
domain decomposition method
diagonal sweeping
perfectly matched layer
source transfer
parallel computing
A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 1, 页码: 291-311
作者:
Lu, Peipei
;
Xu, Xuejun
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  |  
浏览/下载:44/0
  |  
提交时间:2019/10/28
Multilevel method
Helmholtz equation
High wave number
Continuous interior penalty finite element method
GMRES method
Overlapping domain decomposition method
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:24/0
  |  
提交时间:2020/01/10
Helmholtz equation
nonhomogeneous
variable wave numbers
generalized plane wave
local spectral elements
error estimates
AN OPTIMIZED SCHWARZ METHOD WITH RELAXATION FOR THE HELMHOLTZ EQUATION: THE NEGATIVE IMPACT OF OVERLAP
期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2019, 卷号: 53, 期号: 1, 页码: 249-268
作者:
Liu, Yongxiang
;
Xu, Xuejun
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  |  
浏览/下载:42/0
  |  
提交时间:2020/01/10
optimized Schwarz method
the Helmholtz equation
overlapping size
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