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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
Authors:  Lu, Peipei;  Xu, Xuejun
Favorite  |  View/Download:15/0  |  Submit date:2019/10/28
Multilevel method  Helmholtz equation  High wave number  Continuous interior penalty finite element method  GMRES method  Overlapping domain decomposition method  
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:13/0  |  Submit date:2020/01/10
Helmholtz equation  nonhomogeneous  variable wave numbers  generalized plane wave  local spectral elements  error estimates  
AN OPTIMIZED SCHWARZ METHOD WITH RELAXATION FOR THE HELMHOLTZ EQUATION: THE NEGATIVE IMPACT OF OVERLAP 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2019, 卷号: 53, 期号: 1, 页码: 249-268
Authors:  Liu, Yongxiang;  Xu, Xuejun
Favorite  |  View/Download:10/0  |  Submit date:2020/01/10
optimized Schwarz method  the Helmholtz equation  overlapping size  
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:12/0  |  Submit date:2019/04/02
Helmholtz equation  error estimate  finite difference method  polar and spherical coordinates  pollution-free scheme  
AN ADDITIVE OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE HELMHOLTZ EQUATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 2, 页码: A1252-A1277
Authors:  Leng, Wei;  Ju, Lili
Favorite  |  View/Download:13/0  |  Submit date:2020/01/10
additive domain decomposition method  Helmholtz equation  perfectly matched layer  truncated domain problem  error analysis  parallel computing  
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:26/0  |  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:21/0  |  Submit date:2018/09/08
Helmholtz equation  Time-harmonic Maxwell's equations  Well posedness  Electromagnetic wave  Plane wave basis  Error estimates  
Fast imaging of scattering obstacles from phaseless far-field measurements at a fixed frequency 期刊论文
INVERSE PROBLEMS, 2018, 卷号: 34, 期号: 10, 页码: 24
Authors:  Zhang, Bo;  Zhang, Haiwen
Favorite  |  View/Download:17/0  |  Submit date:2018/10/07
inverse scattering  Helmholtz equation  phaseless far-field data  direct imaging method  
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:15/0  |  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:16/0  |  Submit date:2018/07/30
Helmholtz equation  Time-harmonic Maxwell equations  Nonhomogeneous  Local spectral element  Plane wave basis functions  Error estimates