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Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations
期刊论文
OAI收割
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 163, 页码: 126-146
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
  |  
收藏
  |  
浏览/下载:24/0
  |  
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
OAI收割
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 页码: 18
作者:
Bruno, Oscar P.
;
Xu, Liwei
;
Yin, Tao
  |  
收藏
  |  
浏览/下载:4/0
  |  
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
OAI收割
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2020, 卷号: 26, 页码: 26
作者:
Wu, Shu-Lin
;
Zhou, Tao
  |  
收藏
  |  
浏览/下载:19/0
  |  
提交时间:2021/04/26
Parabolic PDE-constrained optimization
PinT algorithm
diagonalization technique
preconditioner
GMRES
BiCGStab
An anisotropic multilevel preconditioner for solving the Helmholtz equation with unequal directional sampling intervals
期刊论文
OAI收割
GEOPHYSICS, 2020, 卷号: 85, 期号: 6, 页码: T293-T300
作者:
Yuan, Yu-Xin
;
Li, A-Man
;
Hu, Ting
;
Liu, Hong
  |  
收藏
  |  
浏览/下载:5/0
  |  
提交时间:2021/10/08
Inexact Newton-type methods based on Lanczos orthonormal method and application for full waveform inversion
期刊论文
OAI收割
Inverse Problems, 2020, 卷号: 36, 期号: 11
作者:
He,Qinglong
;
Wang,Yanfei
  |  
收藏
  |  
浏览/下载:27/0
  |  
提交时间:2021/01/08
inexact Newton-type methods
Lanczos orthonormal method
full waveform inversion
Krylov subspace methods
adjoint-state method
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations
期刊论文
OAI收割
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 404, 页码: 13
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
  |  
收藏
  |  
浏览/下载:6/0
  |  
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
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces
期刊论文
OAI收割
NUMERICAL ALGORITHMS, 2019, 卷号: 82, 期号: 4, 页码: 1251-1277
作者:
Bai, Zhong-Zhi
;
Miao, Cun-Qiang
  |  
收藏
  |  
浏览/下载:9/0
  |  
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
OAI收割
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1888-1923
作者:
Bai, Zhong-Zhi
  |  
收藏
  |  
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
A multigrid-based preconditioner for solving the Helmholtz equation with average-derivative optimal scheme
期刊论文
OAI收割
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
  |  
收藏
  |  
浏览/下载:56/0
  |  
提交时间:2019/08/22
Multigrid
Anisotropic problem
Helmholtz equation
Average-derivative optimal scheme
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations
期刊论文
OAI收割
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 5, 页码: 18
作者:
Bai, Zhong-Zhi
  |  
收藏
  |  
浏览/下载:19/0
  |  
提交时间:2019/01/11
convergence property
HSS iteration
matrix splitting
preconditioning
respective scaling
spatial fractional diffusion equation