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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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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
Authors:
Yuan, Long
;
Hu, Qiya
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View/Download:71/0
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Submit date: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
Authors:
Wang, Zezhong
;
Hu, Qiya
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View/Download:90/0
  |  
Submit date:2021/04/26
Thermally coupled eddy-current problem
finite element method
time step-length iteration
Picard iteration
optimal error estimates
preconditioner
CONVERGENCE OF THE HIPTMAIR-XU PRECONDITIONER FOR MAXWELL'S EQUATIONS WITH JUMP COEFFICIENTS (I): EXTENSIONS OF THE REGULAR DECOMPOSITION
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 5, 页码: 2500-2535
Authors:
Hu, Qiya
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View/Download:78/0
  |  
Submit date:2022/04/02
Maxwell's equations
regular decomposition
stability
Nedelec elements
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
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View/Download:112/0
  |  
Submit date:2021/01/14
Helmholtz equations
inhomogeneous media
large wave number
auxiliary unknowns
least squares
error estimates
preconditioner
Uzawa methods for a class of block three-by-three saddle-point problems
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019, 页码: 26
Authors:
Huang, Na
;
Dai, Yu-Hong
;
Hu, QiYa
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View/Download:148/0
  |  
Submit date:2020/01/10
inexact Uzawa method
saddle-point problem
Uzawa method
A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions
期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2019, 卷号: 45, 期号: 3, 页码: 1129-1161
Authors:
Hu, Qiya
;
Hu, Shaoliang
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View/Download:130/0
  |  
Submit date:2020/01/10
Domain decomposition
Substructuring preconditioner
Linear elasticity problems
Maxwell's equations
PCG iteration
Convergence rate
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
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View/Download:128/0
  |  
Submit date:2020/01/10
Helmholtz equation
nonhomogeneous
variable wave numbers
generalized plane wave
local spectral elements
error estimates
A New Variational Approach for Inverse Source Problems
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2019, 卷号: 12, 期号: 2, 页码: 331-347
Authors:
Hu, Qiya
;
Shu, Shi
;
Zou, Jun
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View/Download:146/0
  |  
Submit date:2019/03/05
Variational approach
inverse source problem
stability
convergence
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
Authors:
Yuan, Long
;
Hu, Qiya
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View/Download:145/0
  |  
Submit date:2019/03/05
Time-harmonic Maxwell's equations
anisotropic media
plane-wave basis
error estimates
nonhomogeneous
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
Authors:
Hu, Qiya
;
Song, Rongrong
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View/Download:129/0
  |  
Submit date:2020/01/10
Maxwell's equations
plane wave method
variational problem
L-2 error estimate