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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：71/0  |  提交时间：2023/02/07
time-parallel algorithm  diagonalization technique  alpha-circulant preconditioner  stability  spectral analysis  Runge-Kutta method  two-step methods  
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：151/0  |  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  
NUMERICAL INVESTIGATION OF ENSEMBLE METHODS WITH BLOCK ITERATIVE SOLVERS FOR EVOLUTION PROBLEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 卷号: 25, 期号: 12, 页码: 4905-4923
作者:  Ju, Lili;  Leng, Wei;  Wang, Zhu;  Yuan, Shuai
收藏  |  浏览/下载：210/0  |  提交时间：2021/01/14
Ensemble method  ensemble-based time stepping  block CG  block GMRES  iterative linear solver  
Uzawa methods for a class of block three-by-three saddle-point problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019, 页码: 26
作者:  Huang, Na;  Dai, Yu-Hong;  Hu, QiYa
收藏  |  浏览/下载：180/0  |  提交时间：2020/01/10
inexact Uzawa method  saddle-point problem  Uzawa 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
作者:  Huang, Na;  Ma, Chang-Feng;  Zou, Jun
收藏  |  浏览/下载：151/0  |  提交时间：2018/07/30
Maxwell scattering problem  PML equations  Block triangular preconditioner  Spectral distributions  
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：846/153  |  提交时间：2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows 期刊论文
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 卷号: 14, 期号: 5, 页码: 14
作者:  Shah, Abdullah;  Saeed, Sadia;  Yuan, L.
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
Two-phase flow  phase-field model  incompressible Navier-Stokes equations  artificial compressibility method  Boussinesq approximation  
A Non-Krylov Subspace Method for Solving Large and Sparse Linear System of Equations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2016, 卷号: 9, 期号: 2, 页码: 289-314
作者:  Peng, Wujian;  Lin, Qun
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
Iterative method  accumulated projection  Krylov subspace  
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：112/0  |  提交时间：2018/07/30
Maxwell scattering problem  edge finite elements  PML equations  Schur complement-type preconditioner  
Application of auxiliary space preconditioning in field-scale reservoir simulation 期刊论文
SCIENCE CHINA-MATHEMATICS, 2013, 卷号: 56, 期号: 12, 页码: 2737-2751
作者:  Hu XiaoZhe;  Xu JinChao;  Zhang ChenSong
收藏  |  浏览/下载：109/0  |  提交时间：2021/01/14
ITERATIVE METHODS  BLOCK  EQUATIONS  SYSTEMS  GRIDS  reservoir simulation  black-oil model  fully implicit method  auxiliary space preconditioning  algebraic multigrid method  Krylov subspace iterative method