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AN ADDITIVE OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE HELMHOLTZ EQUATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 2, 页码: A1252-A1277
Authors:  Leng, Wei;  Ju, Lili
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additive domain decomposition method  Helmholtz equation  perfectly matched layer  truncated domain problem  error analysis  parallel computing  
Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 10, 页码: 3552-3565
Authors:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
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Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation  
Parallel numerical simulation of the thermal convection in the Earth's outer core on the cubed-sphere 期刊论文
GEOPHYSICAL JOURNAL INTERNATIONAL, 2017, 卷号: 209, 期号: 3, 页码: 1934-1954
Authors:  Yin, Liang;  Yang, Chao;  Ma, Shi-Zhuang;  Huang, Ji-Zu;  Cai, Ying
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Core  Dynamo: theories and simulations  Non-linear differential equations  Numerical solutions  
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  
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
Authors:  Tan, Zhiyu;  Gong, Wei;  Yan, Ningning
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Overlapping domain decomposition method  elliptic optimal control problem  preconditioned MINRES method  preconditioned GMRES method  
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  
A FULLY IMPLICIT METHOD FOR LATTICE BOLTZMANN EQUATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2015, 卷号: 37, 期号: 5, 页码: S291-S313
Authors:  Huang, Jizu;  Yang, Chao;  Cai, Xiao-Chuan
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lattice Boltzmann equations  fully implicit method  Newton-Krylov-RAS  domain decomposition  parallel scalability  
Schurras: A restricted version of the overlapping Schur complement preconditioner 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2006, 卷号: 27, 期号: 5, 页码: 1787-1801
Authors:  Li, ZZ;  Saad, Y
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parallel preconditioning  distributed sparse linear systems  Schur complement techniques  domain decomposition  additive Schwarz preconditioner  restricted additive Schwarz preconditioner