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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:98/0  |  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;  Guo, Rongwen;  Tang, Jingtian
收藏  |  浏览/下载:70/0  |  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
收藏  |  浏览/下载:134/0  |  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:75/0  |  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
收藏  |  浏览/下载:103/0  |  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
收藏  |  浏览/下载:158/0  |  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:141/0  |  提交时间:2021/04/26
Helmholtz equation  domain decomposition method  diagonal sweeping  perfectly matched layer  source transfer  parallel computing