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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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Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: Algorithms and convergence analysis
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 455, 页码: 29
Authors:
Leng, Wei
;
Ju, Lili
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View/Download:7/0
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Submit date:2022/04/29
Domain decomposition method
Diagonal sweeping
Helmholtz equation
Perfectly matched layer
Trace transfer
Parallel computing
A constrained transport divergence-free finite element method for incompressible MHD equations
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 428, 页码: 22
Authors:
Li, Lingxiao
;
Zhang, Donghang
;
Zheng, Weiying
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View/Download:27/0
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Submit date:2021/04/26
Magnetohydrodynamic equations
Constrained transport
Magnetic vector potential
Divergence-free finite element method
Block preconditioner
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:21/0
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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:8/0
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Submit date:2022/04/02
Maxwell's equations
regular decomposition
stability
Nedelec elements
Diagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problems
期刊论文
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2020, 卷号: 26, 页码: 26
Authors:
Wu, Shu-Lin
;
Zhou, Tao
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View/Download:28/0
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Submit date:2021/04/26
Parabolic PDE-constrained optimization
PinT algorithm
diagonalization technique
preconditioner
GMRES
BiCGStab
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 404, 页码: 13
Authors:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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View/Download:45/0
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Submit date:2020/05/24
Spatial fractional diffusion equations
Shifted finite-difference discretization
Block Toeplitz-like matrix
Block circulant-like matrix
Preconditioning
Eigenvalue distribution
On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020, 卷号: 27, 期号: 1, 页码: 21
Authors:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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View/Download:42/0
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Submit date:2020/06/30
convergence property
matrix splitting iteration
preconditioning
spatial fractional diffusion equation
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:32/0
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Submit date:2021/01/14
Helmholtz equations
inhomogeneous media
large wave number
auxiliary unknowns
least squares
error estimates
preconditioner
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
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View/Download:47/0
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Submit date:2019/10/28
Multilevel method
Helmholtz equation
High wave number
Continuous interior penalty finite element method
GMRES method
Overlapping domain decomposition 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:53/0
  |  
Submit date:2020/01/10
Domain decomposition
Substructuring preconditioner
Linear elasticity problems
Maxwell's equations
PCG iteration
Convergence rate