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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:157/0  |  提交时间:2023/02/07
Helmholtz equation  deep learning  domain decomposition method  plane wave method  
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:104/0  |  提交时间:2023/02/07
Helmholtz equation  Deep learning  Finite difference method  Plane wave method  
Recovering Unbounded Rough Surfaces with a Direct Imaging Method 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2020, 卷号: 36, 期号: 1, 页码: 119-133
作者:  Zhang, Hai-wen
收藏  |  浏览/下载:197/0  |  提交时间:2020/05/24
direct imaging method  inverse scattering problem  unbounded rough surface  incident plane wave  near-field data  
A VARIANT OF THE PLANE WAVE LEAST SQUARES METHOD FOR THE TIME-HARMONIC MAXWELL'S EQUATIONS 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2019, 卷号: 53, 期号: 1, 页码: 85-103
作者:  Hu, Qiya;  Song, Rongrong
收藏  |  浏览/下载:204/0  |  提交时间:2020/01/10
Maxwell's equations  plane wave method  variational problem  L-2 error estimate  
COUPLING METHOD OF PLANE WAVE DG AND BOUNDARY ELEMENT FOR ELECTROMAGNETIC SCATTERING 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 卷号: 16, 期号: 4, 页码: 609-625
作者:  Hu, Qiya;  Guo, Xingyue;  Liu, Yang;  Zhou, Haijing
收藏  |  浏览/下载:198/0  |  提交时间:2020/01/10
Maxwell's equations  plane wave DG method  boundary element method  coupling variational problem  
A Two-Steps Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2018, 卷号: 11, 期号: 3, 页码: 453-476
作者:  Hu, Qiya;  Zhao, Lin
收藏  |  浏览/下载:226/0  |  提交时间:2018/09/08
Nonhomogeneous Helmholtz equation  inhomogeneous media  plane wave method  discontinuous Galerkin method  errors  preconditioner