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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:4/0  |  Submit date:2019/10/28
Multilevel method  Helmholtz equation  High wave number  Continuous interior penalty finite element method  GMRES method  Overlapping domain decomposition method  
A Positivity-Preserving Finite Volume Scheme for Heat Conduction Equation on Generalized Polyhedral Meshes 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 5, 页码: 1375-1408
Authors:  Xie, Hui;  Xu, Xuejun;  Zhai, Chuanlei;  Yong, Heng
Favorite  |  View/Download:11/0  |  Submit date:2019/03/05
Heat conduction  anisotropic diffusion tensor  distorted mesh  positivity-preserving  cell-centered scheme  vertex elimination  
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:5/0  |  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:3/0  |  Submit date:2018/07/30
Fractional differential equations  Overlapping domain decompositions  Preconditioners  
DOMAIN DECOMPOSITION PRECONDITIONERS FOR THE DISCONTINUOUS PETROV-GALERKIN METHOD 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2017, 卷号: 51, 期号: 3, 页码: 1021-1044
Authors:  Li, Xiang;  Xu, Xuejun
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DPG  domain decomposition  additive Schwarz preconditioner  Robin boundary condition  Helmholtz equation  
LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 6, 页码: A2592-A2615
Authors:  Tang, Shibing;  Xu, Xuejun
Favorite  |  View/Download:4/0  |  Submit date:2018/07/30
biharmonic problem  Schwarz framework  Bogner-Fox-Schmit element  Adini element  local multilevel method  
Chinese-German Computational and Applied Mathematics 期刊论文
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2016, 卷号: 16, 期号: 4, 页码: 605-608
Authors:  Hoppe, Ronald H. W.;  Hu, Jun;  Peter, Malte A.;  Rannacher, Rolf;  Shi, Zhongci;  Xu, Xuejun
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Scientific Computing  Mathematical Modeling  Optimization  Multi-Scale Problems  
A Hybridizable Discontinuous Galerkin Method for the Time-Harmonic Maxwell Equations with High Wave Number 期刊论文
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2016, 卷号: 16, 期号: 3, 页码: 429-445
Authors:  Feng, Xiaobing;  Lu, Peipei;  Xu, Xuejun
Favorite  |  View/Download:5/0  |  Submit date:2018/07/30
Hybridizable Discontinuous Galerkin Method  Time-Harmonic Maxwell Equations  High Wave Number  Error Estimates  
A ROBUST MULTILEVEL METHOD FOR THE TIME -HARMONIC MAXWELL EQUATION WITH HIGH WAVE NUMBER 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2016, 卷号: 38, 期号: 2, 页码: A856-A874
Authors:  Lu, Peipei;  Xu, Xuejun
Favorite  |  View/Download:3/0  |  Submit date:2018/07/30
multilevel method  time-harmonic Maxwell equation  high wave number  continuous interior penalty finite element method  GMRES method  local Fourier analysis  
Multigrid methods for space fractional partial differential equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 卷号: 302, 页码: 374-392
Authors:  Jiang, Yingjun;  Xu, Xuejun
Favorite  |  View/Download:5/0  |  Submit date:2018/07/30
Fractional differential equations  Multigrid methods  Optimal convergence