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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
Authors:  Li, Wuyang;  Wang, Ziming;  Cui, Tao;  Xu, Yingxiang;  Xiang, Xueshuang
Favorite  |  View/Download：5/0  |  Submit date：2023/02/07
Helmholtz equation  deep learning  domain decomposition method  plane wave method  
INN: Interfaced neural networks as an accessible meshless approach for solving interface PDE problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 470, 页码: 18
Authors:  Wu, Sidi;  Lu, Benzhuo
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Interface problems  Multiple-gradient descent  Neural network  PDEs  
An inverse problem for the transmission wave equation with Kelvin-Voigt damping 期刊论文
APPLICABLE ANALYSIS, 2022, 页码: 23
Authors:  Zhao, Zhongliu;  Zhang, Wensheng
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Wave equation with Kelvin-Voigt damping  discontinuous coefficients  global Carleman estimate  inverse problem  single measurement  
Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 卷号: 97, 页码: 355-374
Authors:  Yuan, Long;  Hu, Qiya
Favorite  |  View/Download：52/0  |  Submit date：2022/04/02
Helmholtz equation  Time-harmonic Maxwell's equations  Anisotropic media  Plane wave basis  Error estimates  
SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 4, 页码: 2197-2217
Authors:  Chen, Chuchu
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stochastic Maxwell equations  symplectic dG full discretization  mean-square convergence  
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：92/0  |  Submit date：2020/06/30
Interface problem  IFE method  Condition number  
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
Authors:  Hu, Qiya;  Hu, Shaoliang
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Domain decomposition  Substructuring preconditioner  Linear elasticity problems  Maxwell's equations  PCG iteration  Convergence rate  
Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 卷号: 25, 期号: 5, 页码: 1496-1522
Authors:  Yuan, Long;  Hu, Qiya
Favorite  |  View/Download：121/0  |  Submit date：2019/03/05
Time-harmonic Maxwell's equations  anisotropic media  plane-wave basis  error estimates  nonhomogeneous  
MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 2, 页码: A1091-A1120
Authors:  Ma, Chupeng;  Cao, Liqun;  Lin, Yanping
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Maxwell-Schrodinger system  homogenization method  multiscale asymptotic expansion  finite element method  
矩阵形式二次修正Maxwell-Dirac系统的多尺度算法 期刊论文
计算数学, 2019, 卷号: 41.0, 期号: 004, 页码: 419-439
Authors:  付姚姚;  曹礼群
Favorite  |  View/Download：71/0  |  Submit date：2021/01/14
Maxwell-Dirac系统  二次修正  矩阵形式  多尺度渐近方法  Crank-Nicolson有限差分方法  自适应棱单元方法