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Parallel multi-stage preconditioners with adaptive setup for the black oil model 期刊论文
COMPUTERS & GEOSCIENCES, 2022, 卷号: 168, 页码: 16
作者:  Zhao, Li;  Feng, Chunsheng;  Zhang, Chen-Song;  Shu, Shi
收藏  |  浏览/下载:70/0  |  提交时间:2023/02/07
Black oil model  Fully implicit method  Parallel computing  Multi-color Gauss-Seidel smoother  Multi-stage preconditioners  
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
收藏  |  浏览/下载:148/0  |  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  
Variational inequality transport model on the sphere by the active-set reduced-space algorithm 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2021, 卷号: 260, 页码: 10
作者:  Yang, Haijian;  Yang, Chao;  Huang, Jizu
收藏  |  浏览/下载:126/0  |  提交时间:2021/04/26
Transport problem on the sphere  Variational inequality  Parallel computing  Fully implicit scheme  Active-set reduced-space method  
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
收藏  |  浏览/下载:145/0  |  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
收藏  |  浏览/下载:151/0  |  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