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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
作者:  Wu, Shu-Lin;  Zhou, Tao;  Zhou, Zhi
收藏  |  浏览/下载：70/0  |  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
收藏  |  浏览/下载：133/0  |  提交时间：2021/04/26
Magnetohydrodynamic equations  Constrained transport  Magnetic vector potential  Divergence-free finite element method  Block preconditioner  
A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 3, 页码: 767-801
作者:  Wang, Zezhong;  Hu, Qiya
收藏  |  浏览/下载：116/0  |  提交时间：2021/04/26
Thermally coupled eddy-current problem  finite element method  time step-length iteration  Picard iteration  optimal error estimates  preconditioner  
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  
A NOVEL LEAST SQUARES METHOD FOR HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 5, 页码: 3091-3123
作者:  Hu, Qiya;  Song, Rongrong
收藏  |  浏览/下载：140/0  |  提交时间：2021/01/14
Helmholtz equations  inhomogeneous media  large wave number  auxiliary unknowns  least squares  error estimates  preconditioner  
A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2019, 卷号: 45, 期号: 3, 页码: 1129-1161
作者:  Hu, Qiya;  Hu, Shaoliang
收藏  |  浏览/下载：158/0  |  提交时间：2020/01/10
Domain decomposition  Substructuring preconditioner  Linear elasticity problems  Maxwell's equations  PCG iteration  Convergence rate  
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
收藏  |  浏览/下载：121/0  |  提交时间：2019/10/28
inductionless MHD equations  block preconditioner  field-of-values-equivalence  conservation of charges  augmented Lagrangian finite element method  
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
收藏  |  浏览/下载：213/0  |  提交时间：2020/01/10
inductionless MHD equations  block preconditioner  field-of-values-equivalence  conservation of charges  augmented Lagrangian finite element method  
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
作者:  Huang, Na;  Ma, Chang-Feng
收藏  |  浏览/下载：155/0  |  提交时间：2018/10/07
Navier-Stokes equations  Saddle point problem  Spectral estimates  Preconditioner  Nonsymmetric  
A Two-Steps Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2018, 卷号: 11, 期号: 3, 页码: 453-476
作者:  Hu, Qiya;  Zhao, Lin
收藏  |  浏览/下载：184/0  |  提交时间：2018/09/08
Nonhomogeneous Helmholtz equation  inhomogeneous media  plane wave method  discontinuous Galerkin method  errors  preconditioner