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A TWO-LEVEL PRECONDITIONED HELMHOLTZ-JACOBI-DAVIDSON METHOD FOR THE MAXWELL EIGENVALUE PROBLEM 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 卷号: 91, 期号: 334, 页码: 623-657
Authors:  Liang, Qigang;  Xu, Xuejun
Favorite  |  View/Download：95/0  |  Submit date：2022/04/29
Maxwell eigenvalue problem  edge element  Helmholtz projection  Jacobi-Davidson method  domain decomposition  
A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 1, 页码: 291-311
Authors:  Lu, Peipei;  Xu, Xuejun
Favorite  |  View/Download：92/0  |  Submit date：2019/10/28
Multilevel method  Helmholtz equation  High wave number  Continuous interior penalty finite element method  GMRES method  Overlapping domain decomposition method  
ON THE CONVERGENCE OF A TWO-LEVEL PRECONDITIONED JACOBI-DAVIDSON METHOD FOR EIGENVALUE PROBLEMS 期刊论文
MATHEMATICS OF COMPUTATION, 2019, 卷号: 88, 期号: 319, 页码: 2295-2324
Authors:  Wang, Wei;  Xu, Xuejun
Favorite  |  View/Download：127/0  |  Submit date：2020/01/10
Jacobi-Davidson method  eigenvalue problems  domain decomposition method  
AN OPTIMIZED SCHWARZ METHOD WITH RELAXATION FOR THE HELMHOLTZ EQUATION: THE NEGATIVE IMPACT OF OVERLAP 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2019, 卷号: 53, 期号: 1, 页码: 249-268
Authors:  Liu, Yongxiang;  Xu, Xuejun
Favorite  |  View/Download：108/0  |  Submit date：2020/01/10
optimized Schwarz method  the Helmholtz equation  overlapping size  
A TWO-LEVEL OVERLAPPING HYBRID DOMAIN DECOMPOSITION METHOD FOR EIGENVALUE PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 1, 页码: 344-368
Authors:  Wang, Wei;  Xu, Xuejun
Favorite  |  View/Download：110/0  |  Submit date：2018/07/30
eigenvalue problem  finite elements  two-level overlapping domain decomposition  
Domain decomposition methods for space fractional partial differential equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 350, 页码: 573-589
Authors:  Jiang, Yingjun;  Xu, Xuejun
Favorite  |  View/Download：91/0  |  Submit date：2018/07/30
Fractional differential equations  Overlapping domain decompositions  Preconditioners  
Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 22, 期号: 4, 页码: 1069-1100
Authors:  Hu, Qiya;  Zhao, Lin
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2D-3T heat conduction equations  discontinuous Galerkin method  domain decomposition preconditioner  iterative numbers  
EFFICIENT MULTILEVEL PRECONDITIONERS FOR THREE-DIMENSIONAL PLANE WAVE HELMHOLTZ SYSTEMS WITH LARGE WAVE NUMBERS 期刊论文
MULTISCALE MODELING & SIMULATION, 2017, 卷号: 15, 期号: 3, 页码: 1242-1266
Authors:  Hu, Qiya;  Li, Xuan
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Helmholtz equation  large wave numbers  plane wave methods  overlapping domain decomposition  multilevel preconditioners  3-level smoothers  
NOVEL MULTILEVEL PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 4, 页码: A1675-A1709
Authors:  Hu, Qiya;  Li, Xuan
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Helmholtz equation  large wave numbers  plane wave methods  multilevel overlapping domain decomposition  multilevel overlapping preconditioner  smoothers  
aparallellinesearchsubspacecorrectionmethodforcompositeconvexoptimization 期刊论文
journaloftheoperationsresearchsocietyofchina, 2015, 卷号: 3, 期号: 2, 页码: 163
Authors:  Dong Qian;  Liu Xin;  Wen Zaiwen;  Yuan Yaxiang
Favorite  |  View/Download：69/0  |  Submit date：2020/01/10