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中国科学院数学与系统科学研究院机构知识库
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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
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View/Download:38/0
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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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View/Download:18/0
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Submit date:2023/02/07
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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View/Download:13/0
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Submit date:2023/02/07
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
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View/Download:66/0
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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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View/Download:66/0
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Submit date:2022/04/02
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
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View/Download:106/0
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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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View/Download:121/0
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Submit date:2020/01/10
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
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View/Download:135/0
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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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View/Download:126/0
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Submit date:2020/01/10
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
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View/Download:83/0
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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