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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
A UNIFORM SPECTRAL ANALYSIS FOR A PRECONDITIONED ALL-AT-ONCE SYSTEM FROM FIRST-ORDER AND SECOND-ORDER EVOLUTIONARY PROBLEMS
期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2022, 卷号: 43, 期号: 3, 页码: 1331-1353
作者:
Wu, Shu-Lin
;
Zhou, Tao
;
Zhou, Zhi
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浏览/下载:0/0
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提交时间:2023/02/07
time-parallel algorithm
diagonalization technique
alpha-circulant preconditioner
stability
spectral analysis
Runge-Kutta method
two-step methods
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
作者:
Li, Lingxiao
;
Zhang, Donghang
;
Zheng, Weiying
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浏览/下载:26/0
  |  
提交时间:2021/04/26
Magnetohydrodynamic equations
Constrained transport
Magnetic vector potential
Divergence-free finite element method
Block preconditioner
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
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
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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浏览/下载:27/0
  |  
提交时间:2020/05/24
Spatial fractional diffusion equations
Shifted finite-difference discretization
Block Toeplitz-like matrix
Block circulant-like matrix
Preconditioning
Eigenvalue distribution
A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time–space fractional diffusion equation
期刊论文
Journal of Computational and Applied Mathematics, 2019, 卷号: 362, 页码: 99-115
作者:
Zhao, Yong-Liang
;
Zhu, Pei-Yong
;
Gu, Xian-Ming
;
Zhao, Xi-Le
;
Cao, Jianxiong
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浏览/下载:4/0
  |  
提交时间:2020/11/14
Gradient methods
Linear systems
Matrix algebra
Partial differential equations
Circulant preconditioner
Fractional differential equations
Krylov subspace method
Toeplitz matrices
WSGD
A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time-space fractional diffusion equation
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 362, 页码: 99-115
作者:
Zhao, Yong-Liang
;
Zhu, Pei-Yong
;
Gu, Xian-Ming
;
Zhao, Xi-Le
;
Cao, Jianxiong
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浏览/下载:10/0
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提交时间:2019/11/15
Block triangular lower Toeplitz matrix
Skew-circulant preconditioner
Krylov subspace methods
Fractional differential equations
WSGD
L2-1(sigma) formula
A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART I: CONVERGENCE
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: B796-B815
作者:
Li, Lingxiao
;
Ni, Mingjiu
;
Zheng, Weiying
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浏览/下载:42/0
  |  
提交时间:2020/01/10
inductionless MHD equations
block preconditioner
field-of-values-equivalence
conservation of charges
augmented Lagrangian finite element method
A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART II: A ROBUST SOLVER
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: B816-B842
作者:
Li, Lingxiao
;
Ni, Mingjiu
;
Zheng, Weiying
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  |  
浏览/下载:19/0
  |  
提交时间:2019/10/28
inductionless MHD equations
block preconditioner
field-of-values-equivalence
conservation of charges
augmented Lagrangian finite element method
On spectral clustering of HSS preconditioner for generalized saddle-point matrices
期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 卷号: 555, 页码: 285-300
作者:
Bai, Zhong-Zhi
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浏览/下载:29/0
  |  
提交时间:2018/10/07
Generalized saddle-point problem
Hermitian and skew-Hermitian splitting
Preconditioning
Spectral property
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