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Deep Domain Decomposition Methods: Helmholtz Equation 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2023, 卷号: 15, 期号: 1, 页码: 118-138
作者:  Li, Wuyang;  Wang, Ziming;  Cui, Tao;  Xu, Yingxiang;  Xiang, Xueshuang
收藏  |  浏览/下载：79/0  |  提交时间：2023/02/07
Helmholtz equation  deep learning  domain decomposition method  plane wave method  
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
作者:  Leng, Wei;  Ju, Lili
收藏  |  浏览/下载：124/0  |  提交时间：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
作者:  Liang, Qigang;  Xu, Xuejun
收藏  |  浏览/下载：153/0  |  提交时间：2022/04/29
Maxwell eigenvalue problem  edge element  Helmholtz projection  Jacobi-Davidson method  domain decomposition  
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
作者:  Leng, Wei;  Ju, Lili
收藏  |  浏览/下载：130/0  |  提交时间：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
作者:  Zhang, Shuo
收藏  |  浏览/下载：136/0  |  提交时间：2020/06/30
Reissner-Mindlin plate  Kirchhoff plate  multiply-connected domain  uniformly optimal solver  regular decomposition  
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
作者:  Huang, Jizu;  Yang, Chao;  Wei, Ying
收藏  |  浏览/下载：139/0  |  提交时间：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
作者:  Chen, Rongliang;  Huang, Jizu;  Cai, Xiao-Chuan
收藏  |  浏览/下载：192/0  |  提交时间：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
作者:  Lu, Peipei;  Xu, Xuejun
收藏  |  浏览/下载：116/0  |  提交时间：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
作者:  Wang, Wei;  Xu, Xuejun
收藏  |  浏览/下载：163/0  |  提交时间：2020/01/10
Jacobi-Davidson method  eigenvalue problems  domain decomposition method  
A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2019, 卷号: 45, 期号: 3, 页码: 1129-1161
作者:  Hu, Qiya;  Hu, Shaoliang
收藏  |  浏览/下载：158/0  |  提交时间：2020/01/10
Domain decomposition  Substructuring preconditioner  Linear elasticity problems  Maxwell's equations  PCG iteration  Convergence rate