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Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: Algorithms and convergence analysis 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 455, 页码: 29
Authors:  Leng, Wei;  Ju, Lili
Favorite  |  View/Download:21/0  |  Submit date:2022/04/29
Domain decomposition method  Diagonal sweeping  Helmholtz equation  Perfectly matched layer  Trace transfer  Parallel computing  
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:25/0  |  Submit date:2022/04/29
Maxwell eigenvalue problem  edge element  Helmholtz projection  Jacobi-Davidson method  domain decomposition  
Variational inequality transport model on the sphere by the active-set reduced-space algorithm 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2021, 卷号: 260, 页码: 10
Authors:  Yang, Haijian;  Yang, Chao;  Huang, Jizu
Favorite  |  View/Download:48/0  |  Submit date:2021/04/26
Transport problem on the sphere  Variational inequality  Parallel computing  Fully implicit scheme  Active-set reduced-space method  
A Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz Equation 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 2, 页码: 357-398
Authors:  Leng, Wei;  Ju, Lili
Favorite  |  View/Download:52/0  |  Submit date:2021/04/26
Helmholtz equation  domain decomposition method  diagonal sweeping  perfectly matched layer  source transfer  parallel computing  
Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2020, 卷号: 12, 期号: 4, 页码: 1008-1034
Authors:  Zhang, Shuo
Favorite  |  View/Download:59/0  |  Submit date:2020/06/30
Reissner-Mindlin plate  Kirchhoff plate  multiply-connected domain  uniformly optimal solver  regular decomposition  
A Rigorous Condition Number Estimate of an Immersed Finite Element Method 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 卷号: 83, 期号: 2, 页码: 23
Authors:  Wang, Saihua;  Wang, Feng;  Xu, Xuejun
Favorite  |  View/Download:56/0  |  Submit date:2020/06/30
Interface problem  IFE method  Condition number  
A Time-dependent Interaction Problem Between an Electromagnetic Field and an Elastic Body 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2020, 卷号: 36, 期号: 1, 页码: 95-118
Authors:  Wei, Chang-kun;  Yang, Jia-qing;  Zhang, Bo
Favorite  |  View/Download:83/0  |  Submit date:2020/05/24
electromagnetic  elastic  Laplace transform  Lax-Milgram lemma  energy method  well-posedness  
PARALLEL ENERGY-STABLE SOLVER FOR A COUPLED ALLEN-CAHN AND CAHN-HILLIARD SYSTEM 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 5, 页码: C294-C312
Authors:  Huang, Jizu;  Yang, Chao;  Wei, Ying
Favorite  |  View/Download:53/0  |  Submit date:2021/04/26
coupled Allen-Cahn/Cahn-Hilliard system  discrete variational derivative method  unconditionally energy stable scheme  Newton-Krylov-Schwarz  domain decomposition method  
A PARALLEL DOMAIN DECOMPOSITION ALGORITHM FOR LARGE SCALE IMAGE DENOISING 期刊论文
INVERSE PROBLEMS AND IMAGING, 2019, 卷号: 13, 期号: 6, 页码: 1259-1282
Authors:  Chen, Rongliang;  Huang, Jizu;  Cai, Xiao-Chuan
Favorite  |  View/Download:92/0  |  Submit date:2020/01/10
Image denoising  total variation  overlapping domain decomposition  Newton-Krylov-Schwarz  parallel processing  
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:58/0  |  Submit date:2019/10/28
Multilevel method  Helmholtz equation  High wave number  Continuous interior penalty finite element method  GMRES method  Overlapping domain decomposition method