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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
Authors:  Li, Wuyang;  Wang, Ziming;  Cui, Tao;  Xu, Yingxiang;  Xiang, Xueshuang
Favorite  |  View/Download：38/0  |  Submit date：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
Authors:  Pan, Kejia;  Wang, Jinxuan;  Hu, Shuanggui;  Ren, Zhengyong;  Cui, Tao;  Guo, Rongwen;  Tang, Jingtian
Favorite  |  View/Download：22/0  |  Submit date：2023/02/07
Electrical properties  Magnetotellurics  Numerical modelling  Numerical solutions  
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
Authors:  Yuan, Long;  Hu, Qiya
Favorite  |  View/Download：66/0  |  Submit date：2022/04/02
Helmholtz equation  Time-harmonic Maxwell's equations  Anisotropic media  Plane wave basis  Error estimates  
A NOVEL LEAST SQUARES METHOD FOR HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 5, 页码: 3091-3123
Authors:  Hu, Qiya;  Song, Rongrong
Favorite  |  View/Download：103/0  |  Submit date：2021/01/14
Helmholtz equations  inhomogeneous media  large wave number  auxiliary unknowns  least squares  error estimates  preconditioner  
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
Authors:  Yuan, Long;  Hu, Qiya
Favorite  |  View/Download：121/0  |  Submit date：2020/01/10
Helmholtz equation  nonhomogeneous  variable wave numbers  generalized plane wave  local spectral elements  error estimates  
ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 卷号: 16, 期号: 3, 页码: 412-435
Authors:  Wang, Kun;  Wong, Yau Shu;  Huang, Jizu
Favorite  |  View/Download：139/0  |  Submit date：2019/04/02
Helmholtz equation  error estimate  finite difference method  polar and spherical coordinates  pollution-free scheme  
Uniqueness in inverse acoustic and electromagnetic scattering by penetrable obstacles with embedded objects 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 12, 页码: 6352-6383
Authors:  Yang, Jiaqing;  Zhang, Bo;  Zhang, Haiwen
Favorite  |  View/Download：189/0  |  Submit date：2018/11/16
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
Authors:  Yuan, Long;  Hu, Qiya
Favorite  |  View/Download：121/0  |  Submit date：2018/09/08
Helmholtz equation  Time-harmonic Maxwell's equations  Well posedness  Electromagnetic wave  Plane wave basis  Error estimates  
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
Authors:  Hu, Qiya;  Zhao, Lin
Favorite  |  View/Download：139/0  |  Submit date：2018/09/08
Nonhomogeneous Helmholtz equation  inhomogeneous media  plane wave method  discontinuous Galerkin method  errors  preconditioner  
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
Authors:  Hu, Qiya;  Yuan, Long
Favorite  |  View/Download：108/0  |  Submit date：2018/07/30
Helmholtz equation  Time-harmonic Maxwell equations  Nonhomogeneous  Local spectral element  Plane wave basis functions  Error estimates