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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:209/0  |  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 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
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载:186/0  |  提交时间:2018/10/07
Generalized saddle-point problem  Hermitian and skew-Hermitian splitting  Preconditioning  Spectral property  
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
作者:  Gong, Wei;  Tan, Zhiyu;  Zhang, Shuo
收藏  |  浏览/下载:145/0  |  提交时间: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
作者:  Li, Lingxiao;  Zheng, Weiying
收藏  |  浏览/下载:135/0  |  提交时间:2018/07/30
Incompressible magnetohydrodynamic equations  Mixed finite element method  Block preconditioner  grad-div stabilization  Newton's method  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载:820/150  |  提交时间:2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
Analytical decoupling techniques for fully implicit reservoir simulation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 336, 页码: 664-681
作者:  Qiao, Changhe;  Wu, Shuhong;  Xu, Jinchao;  Zhang, Chen-Song
收藏  |  浏览/下载:127/0  |  提交时间:2018/07/30
Reservoir simulation  Fully implicit method  Linear solver  Preconditioner  Decoupling  
AN EFFECTIVE PRECONDITIONER FOR A PML SYSTEM FOR ELECTROMAGNETIC SCATTERING PROBLEM 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2015, 卷号: 49, 期号: 3, 页码: 839-854
作者:  Hu, Qiya;  Liu, Chunmei;  Shu, Shi;  Zou, Jun
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
Maxwell scattering problem  edge finite elements  PML equations  Schur complement-type preconditioner  
CONSTRAINT PRECONDITIONERS FOR SYMMETRIC INDEFINITE MATRICES 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2009, 卷号: 31, 期号: 2, 页码: 410-433
作者:  Bai, Zhong-Zhi;  Ng, Michael K.;  Wang, Zeng-Qi
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
symmetric indefinite systems  constraint preconditioners  
Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 卷号: 187, 期号: 2, 页码: 202-226
作者:  Bai, ZZ;  Wang, ZQ
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
linear system  block two-by-two matrix  symmetric positive definite matrix  restrictive preconditioner  conjugate gradient method