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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  
CONVERGENCE OF THE HIPTMAIR-XU PRECONDITIONER FOR MAXWELL'S EQUATIONS WITH JUMP COEFFICIENTS (I): EXTENSIONS OF THE REGULAR DECOMPOSITION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 5, 页码: 2500-2535
作者:  Hu, Qiya
收藏  |  浏览/下载:111/0  |  提交时间:2022/04/02
Maxwell's equations  regular decomposition  stability  Nedelec elements  
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  
Diagonal and circulant or skew-circulant splitting preconditioners for spatial fractional diffusion equations 期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 卷号: 37, 期号: 4, 页码: 4196-4218
作者:  Lu, Kang-Ya
收藏  |  浏览/下载:137/0  |  提交时间:2018/10/07
Circulant matrix  Skew-circulant matrix  Preconditioning  Spatial fractional diffusion equations  
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  
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:826/150  |  提交时间:2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 卷号: 24, 期号: 4, 页码: 15
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya;  Pan, Jian-Yu
收藏  |  浏览/下载:154/0  |  提交时间:2018/07/30
convergence  Krylov subspace method  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  spectral analysis  
OVERLAPPING DOMAIN DECOMPOSITION PRECONDITIONERS FOR UNCONSTRAINED ELLIPTIC OPTIMAL CONTROL PROBLEMS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2017, 卷号: 14, 期号: 4-5, 页码: 550-570
作者:  Tan, Zhiyu;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
Overlapping domain decomposition method  elliptic optimal control problem  preconditioned MINRES method  preconditioned GMRES method  
NONOVERLAPPING DOMAIN DECOMPOSITION METHODS WITH A SIMPLE COARSE SPACE FOR ELLIPTIC PROBLEMS 期刊论文
MATHEMATICS OF COMPUTATION, 2010, 卷号: 79, 期号: 272, 页码: 2059-2078
作者:  Hu, Qiya;  Shu, Shi;  Wang, Junxian
收藏  |  浏览/下载:86/0  |  提交时间:2018/07/30
Domain decomposition  coarse subspace  substructuring preconditioner  inexact solver  condition number  
A MULTILEVEL PRECONDITIONER FOR THE MORTAR METHOD FOR NONCONFORMING P-1 FINITE ELEMENT 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2009, 卷号: 43, 期号: 3, 页码: 429-444
作者:  Rahman, Talal;  Xu, Xuejun
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
Crouzeix-Raviart FE  mortar method  multilevel preconditioner  auxiliary space method