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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
The Landweber Iterative Regularization Method for Solving the Cauchy Problem of the Modified Helmholtz Equation
期刊论文
SYMMETRY-BASEL, 2022, 卷号: 14, 期号: 6
作者:
Chen, Yong-Gang
;
Yang, Fan
;
Ding, Qian
收藏
  |  
浏览/下载:21/0
  |  
提交时间:2022/07/19
modified Helmholtz equation
ill-posed problem
error estimation
Landweber iterative method
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
收藏
  |  
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
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:13/0
  |  
提交时间:2021/04/26
Helmholtz equation
domain decomposition method
diagonal sweeping
perfectly matched layer
source transfer
parallel computing
Landweber iterative regularization method for reconstructing the unknown source of the modified Helmholtz equation
期刊论文
AIMS MATHEMATICS, 2021, 卷号: 6, 期号: 9, 页码: 10327-10342
作者:
Li, Dun-Gang
;
Yang, Fan
;
Fan, Ping
;
Li, Xiao-Xiao
;
Huang, Can-Yun
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2021/10/14
modified Helmholtz equation
ill-posed problem
posteriori regularization parameter choice rule
Landweber iterative method
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:49/0
  |  
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
Fourier Truncation Regularization Method for a Three-Dimensional Cauchy Problem of the Modified Helmholtz Equation with Perturbed Wave Number
期刊论文
MATHEMATICS, 2019, 卷号: 7, 期号: 8
作者:
Yang, Fan
;
Fan, Ping
;
Li, Xiao-Xiao
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2019/11/15
modified Helmholtz equation
ill-posed problem
Cauchy problem
Fourier truncation method
A multigrid-based preconditioner for solving the Helmholtz equation with average-derivative optimal scheme
期刊论文
CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION, 2019, 卷号: 62, 期号: 7, 页码: 2660-2670
作者:
Yuan YuXin
;
Li AMan
;
Hu Ting
;
Guo Peng
;
Liu Hong
收藏
  |  
浏览/下载:62/0
  |  
提交时间:2019/08/22
Multigrid
Anisotropic problem
Helmholtz equation
Average-derivative optimal scheme
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