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Fast rotated BSOR method for block two-by-two linear systems with application to PDE-constrained optimal control problems
期刊论文
BIT NUMERICAL MATHEMATICS, 2022
作者:
Liang, Zhao-Zheng
;
Dou, Yan
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浏览/下载:13/0
  |  
提交时间:2022/03/01
Block two-by-two linear system
Kronecker structure
Iterative solution method
Preconditioning
PDE-constrained optimization
Efficient preconditioning techniques for velocity tracking of Stokes control problem
期刊论文
Applied Numerical Mathematics, 2021, 卷号: 165, 页码: 322-338
作者:
Liang, Zhao-Zheng
;
Dou, Yan
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  |  
浏览/下载:11/0
  |  
提交时间:2021/04/12
Eigenvalues and eigenfunctions
Iterative methods
Linear systems
Numerical methods
Optimal control systems
Spectrum analysis
Control problems
Iterative solution methods
Krylov subspace acceleration
Optimal control problem
PDE-constrained optimization
Preconditioners
Preconditioning
Preconditioning techniques
Stokes flows
Velocity tracking
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
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浏览/下载:15/0
  |  
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
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
作者:
Hu, Qiya
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浏览/下载:3/0
  |  
提交时间:2022/04/02
Maxwell's equations
regular decomposition
stability
Nedelec elements
Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 408, 页码: 18
作者:
He, Xin
;
Vuik, Cornelis
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浏览/下载:2/0
  |  
提交时间:2020/12/10
Navier-Stokes equations
Stabilized finite element method
Block structured preconditioners
Schur complement approximations
Augmented Lagrangian preconditioner
A multigrid-based preconditioner for solving the Helmholtz equation with average-derivative optimal scheme
期刊论文
CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION, 2019, 卷号: 62, 期号: 7, 页码: 2660-2670
作者:
Yuan YuXin
;
Li AMan
;
Hu Ting
;
Guo Peng
;
Liu Hong
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浏览/下载:58/0
  |  
提交时间:2019/08/22
Multigrid
Anisotropic problem
Helmholtz equation
Average-derivative optimal scheme
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
作者:
Hu, Qiya
;
Hu, Shaoliang
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浏览/下载:42/0
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提交时间:2020/01/10
Domain decomposition
Substructuring preconditioner
Linear elasticity problems
Maxwell's equations
PCG iteration
Convergence rate
Diagonal and circulant or skew-circulant splitting preconditioners for spatial fractional diffusion equations
期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 卷号: 37, 期号: 4, 页码: 4196-4218
作者:
Lu, Kang-Ya
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浏览/下载:19/0
  |  
提交时间:2018/10/07
Circulant matrix
Skew-circulant matrix
Preconditioning
Spatial fractional diffusion equations
A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 1, 页码: 17
作者:
Gong, Wei
;
Tan, Zhiyu
;
Zhang, Shuo
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浏览/下载:16/0
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提交时间:2018/07/30
elliptic equation
mixed finite element method
optimal control problem
optimal preconditioner
A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 1
作者:
Gong, Wei
;
Tan, Zhiyu
;
Zhang, Shuo
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浏览/下载:8/0
  |  
提交时间:2019/12/31
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