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A well-conditioned direct PinT algorithm for first- and second-order evolutionary equations 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2022, 卷号: 48, 期号: 3, 页码: 29
作者:  Liu, Jun;  Wang, Xiang-Sheng;  Wu, Shu-Lin;  Zhou, Tao
收藏  |  浏览/下载：100/0  |  提交时间：2022/04/29
Direct PinT algorithms  Diagonalization technique  Condition number  Wave-type equations  
An efficient neural network method with plane wave activation functions for solving Helmholtz equation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 卷号: 111, 页码: 34-49
作者:  Cui, Tao;  Wang, Ziming;  Xiang, Xueshuang
收藏  |  浏览/下载：67/0  |  提交时间：2023/02/07
Helmholtz equation  Deep learning  Finite difference method  Plane wave method  
Exciting Modes due to the Aberration of Gravitational Waves: Measurability for Extreme-Mass-Ratio Inspirals 期刊论文
PHYSICAL REVIEW LETTERS, 2021, 卷号: 127, 期号: 4, 页码: 6
作者:  Torres-Orjuela, Alejandro;  Seoane, Pau Amaro;  Xuan, Zeyuan;  Chua, Alvin J. K.;  Rosell, Mara J. B.;  Chen, Xian
收藏  |  浏览/下载：109/0  |  提交时间：2021/10/26
A NOVEL LEAST SQUARES METHOD FOR HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 5, 页码: 3091-3123
作者:  Hu, Qiya;  Song, Rongrong
收藏  |  浏览/下载：142/0  |  提交时间：2021/01/14
Helmholtz equations  inhomogeneous media  large wave number  auxiliary unknowns  least squares  error estimates  preconditioner  
Uniqueness in inverse acoustic and electromagnetic scattering by penetrable obstacles with embedded objects 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 12, 页码: 6352-6383
作者:  Yang, Jiaqing;  Zhang, Bo;  Zhang, Haiwen
收藏  |  浏览/下载：232/0  |  提交时间：2018/11/16
Diffusive wave in the low Mach limit for compressible Navier Stokes equations 期刊论文
ADVANCES IN MATHEMATICS, 2017, 卷号: 319, 页码: 348-395
作者:  Huang, Feimin;  Wang, Tian-Yi;  Wang, Yong
收藏  |  浏览/下载：188/0  |  提交时间：2018/07/30
Compressible Navier-Stokes equations  Low Mach limit  Nonlinear diffusion wave  Well-prepared data  Ill-prepared data  
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
作者:  Hu, Qiya;  Li, Xuan
收藏  |  浏览/下载：141/0  |  提交时间：2018/07/30
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
作者:  Hu, Qiya;  Li, Xuan
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
Helmholtz equation  large wave numbers  plane wave methods  multilevel overlapping domain decomposition  multilevel overlapping preconditioner  smoothers  
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
作者:  Feng, Xiaobing;  Lu, Peipei;  Xu, Xuejun
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Hybridizable Discontinuous Galerkin Method  Time-Harmonic Maxwell Equations  High Wave Number  Error Estimates  
SUBSTRUCTURING PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2016, 卷号: 38, 期号: 4, 页码: A2232-A2261
作者:  Hu, Qiya;  Zhang, Haiyang
收藏  |  浏览/下载：113/0  |  提交时间：2018/07/30
Helmholtz equation  large wave number  plane wave discretization  nonoverlapping domain decomposition  parallel preconditioner  iteration counts