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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：96/0  |  提交时间：2022/04/02
Helmholtz equation  Time-harmonic Maxwell's equations  Anisotropic media  Plane wave basis  Error estimates  
A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 3, 页码: 767-801
作者:  Wang, Zezhong;  Hu, Qiya
收藏  |  浏览/下载：117/0  |  提交时间：2021/04/26
Thermally coupled eddy-current problem  finite element method  time step-length iteration  Picard iteration  optimal error estimates  preconditioner  
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
作者:  Hu, Qiya;  Song, Rongrong
收藏  |  浏览/下载：141/0  |  提交时间：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
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载：161/0  |  提交时间：2020/01/10
Helmholtz equation  nonhomogeneous  variable wave numbers  generalized plane wave  local spectral elements  error estimates  
Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 卷号: 25, 期号: 5, 页码: 1496-1522
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载：173/0  |  提交时间：2019/03/05
Time-harmonic Maxwell's equations  anisotropic media  plane-wave basis  error estimates  nonhomogeneous  
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
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载：162/0  |  提交时间：2018/09/08
Helmholtz equation  Time-harmonic Maxwell's equations  Well posedness  Electromagnetic wave  Plane wave basis  Error estimates  
The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2018, 卷号: 10, 期号: 5, 页码: 1126-1157
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载：162/0  |  提交时间：2019/03/05
Electromagnetic wave  plane wave least-squares  ultra weak variational formulation  anisotropic media  plane-wave basis  error estimates  
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
作者:  Hu, Qiya;  Yuan, Long
收藏  |  浏览/下载：144/0  |  提交时间：2018/07/30
Helmholtz equation  Time-harmonic Maxwell equations  Nonhomogeneous  Local spectral element  Plane wave basis functions  Error estimates  
A SADDLE POINT APPROACH TO THE COMPUTATION OF HARMONIC MAPS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 卷号: 47, 期号: 2, 页码: 1500-1523
作者:  Hu, Qiya;  Tai, Xue-Cheng;  Winther, Ragnar
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
harmonic maps  nonlinear constraints  saddle point problems  error estimates  
Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2008, 卷号: 1, 期号: 4, 页码: 383-409
作者:  Hu, Qiya
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
Green's formula  generalized normal derivative  domain decomposition  nonmathing grids  discontinuous Galerkin  error estimates