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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
收藏
  |  
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:10/0
  |  
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
Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 163, 页码: 126-146
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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  |  
浏览/下载:56/0
  |  
提交时间:2021/04/26
Fractional optimal control problem
Numerical discretizations
Block two-by-two linear system
Preconditioning
Spectral bounds
Krylov subspace iteration methods
Convergence property
Weighted integral solvers for elastic scattering by open arcs in two dimensions
期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 页码: 18
作者:
Bruno, Oscar P.
;
Xu, Liwei
;
Yin, Tao
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  |  
浏览/下载:61/0
  |  
提交时间:2021/04/26
Calderó
n relation
elasticity
open arc
second‐
kind integral solver
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
作者:
Wu, Shu-Lin
;
Zhou, Tao
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浏览/下载:9/0
  |  
提交时间: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
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:5/0
  |  
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:11/0
  |  
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
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces
期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 82, 期号: 4, 页码: 1251-1277
作者:
Bai, Zhong-Zhi
;
Miao, Cun-Qiang
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  |  
浏览/下载:17/0
  |  
提交时间:2020/05/24
Hermitian eigenproblem
Krylov subspace method
Inexact iteration
Convergence property
Regularized HSS iteration methods for stabilized saddle-point problems
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1888-1923
作者:
Bai, Zhong-Zhi
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浏览/下载:57/0
  |  
提交时间:2020/01/10
stabilized saddle-point problem
Hermitian and skew-Hermitian splitting
stationary iteration method
inexact implementation
preconditioning
convergence
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