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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
Authors:  Wu, Shu-Lin;  Zhou, Tao;  Zhou, Zhi
Favorite  |  View/Download：32/0  |  Submit date：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
Authors:  Li, Lingxiao;  Zhang, Donghang;  Zheng, Weiying
Favorite  |  View/Download：94/0  |  Submit date：2021/04/26
Magnetohydrodynamic equations  Constrained transport  Magnetic vector potential  Divergence-free finite element method  Block 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
Authors:  Bai, Zhong-Zhi;  Lu, Kang-Ya
Favorite  |  View/Download：109/0  |  Submit date：2020/05/24
Spatial fractional diffusion equations  Shifted finite-difference discretization  Block Toeplitz-like matrix  Block circulant-like matrix  Preconditioning  Eigenvalue distribution  
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
Authors:  Li, Lingxiao;  Ni, Mingjiu;  Zheng, Weiying
Favorite  |  View/Download：97/0  |  Submit date：2019/10/28
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 I: CONVERGENCE 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: B796-B815
Authors:  Li, Lingxiao;  Ni, Mingjiu;  Zheng, Weiying
Favorite  |  View/Download：154/0  |  Submit date：2020/01/10
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
Authors:  Bai, Zhong-Zhi
Favorite  |  View/Download：141/0  |  Submit date：2018/10/07
Generalized saddle-point problem  Hermitian and skew-Hermitian splitting  Preconditioning  Spectral property  
On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations 期刊论文
NUMERICAL ALGORITHMS, 2018, 卷号: 79, 期号: 1, 页码: 41-64
Authors:  Huang, Na;  Ma, Chang-Feng
Favorite  |  View/Download：121/0  |  Submit date：2018/10/07
Navier-Stokes equations  Saddle point problem  Spectral estimates  Preconditioner  Nonsymmetric  
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
Authors:  Gong, Wei;  Tan, Zhiyu;  Zhang, Shuo
Favorite  |  View/Download：113/0  |  Submit date：2018/07/30
elliptic equation  mixed finite element method  optimal control problem  optimal preconditioner  
A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 351, 页码: 254-270
Authors:  Li, Lingxiao;  Zheng, Weiying
Favorite  |  View/Download：110/0  |  Submit date：2018/07/30
Incompressible magnetohydrodynamic equations  Mixed finite element method  Block preconditioner  grad-div stabilization  Newton's method  
Analysis on block diagonal and triangular preconditioners for a PML system of an electromagnetic scattering problem 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 11, 页码: 2856-2873
Authors:  Huang, Na;  Ma, Chang-Feng;  Zou, Jun
Favorite  |  View/Download：122/0  |  Submit date：2018/07/30
Maxwell scattering problem  PML equations  Block triangular preconditioner  Spectral distributions