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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:15/0
  |  
提交时间:2023/02/07
Helmholtz equation
deep learning
domain decomposition method
plane wave method
Time-domain PML analysis of a fluid-solid interaction problem above a rough surface
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 页码: 18
作者:
Wei, Changkun
;
Yang, Jiaqing
;
Zhang, Bo
收藏
  |  
浏览/下载:11/0
  |  
提交时间:2023/02/07
acoustic wave equation
elastic wave equation
exponential convergence
perfectly matched layer
stability
unbounded rough surface
Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2022, 卷号: 12, 期号: 4, 页码: 891-911
作者:
Zhang, Wensheng
;
Joardar, Atish Kumar
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2023/02/07
Stability
poroelastic wave equation
energy method
high-order scheme
wave simulation
Optimal Control in a Bounded Domain for Wave Propagating in the Whole Space: Coupling Through Boundary Integral Equations
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 92, 期号: 3, 页码: 52
作者:
Gong, Wei
;
Li, Buyang
;
Yang, Huanhuan
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  |  
浏览/下载:12/0
  |  
提交时间:2023/02/07
Wave equation
Unbounded domain
Boundary integral equation
Well-posedness
Convolution quadrature
Stability
Convergence
Error estimate
Asymptotic anatomy of the Berry phase for scalar waves in two-dimensional periodic continua
期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 卷号: 478, 期号: 2262, 页码: 28
作者:
Guzina, Bojan B.
;
Oudghiri-Idrissi, Othman
;
Meng, Shixu
收藏
  |  
浏览/下载:5/0
  |  
提交时间:2023/02/07
Berry phase
asymptotic model
scalar wave equation
Berry phase computation
An inverse problem for the transmission wave equation with Kelvin-Voigt damping
期刊论文
APPLICABLE ANALYSIS, 2022, 页码: 23
作者:
Zhao, Zhongliu
;
Zhang, Wensheng
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  |  
浏览/下载:5/0
  |  
提交时间:2023/02/07
Wave equation with Kelvin-Voigt damping
discontinuous coefficients
global Carleman estimate
inverse problem
single measurement
Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation
期刊论文
MONATSHEFTE FUR MATHEMATIK, 2022, 页码: 47
作者:
Weng, Weifang
;
Qiao, Zhijun
;
Yan, Zhenya
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  |  
浏览/下载:14/0
  |  
提交时间:2022/04/29
Generalized cubic-quintic CH equation
Well-posedness
Wave breaking
Weak solutions
Non-periodic and periodic peakon solutions
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
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  |  
浏览/下载:0/0
  |  
提交时间:2023/02/07
Helmholtz equation
Deep learning
Finite difference method
Plane wave method
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 451, 页码: 20
作者:
Hong, Jialin
;
Hou, Baohui
;
Sun, Liying
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2022/04/29
Compact finite difference method
Interior penalty discontinuous Galerkin finite element method
Pade approximation
Averaged energy evolution law
Stochastic wave equation
Multiplicative noise
A sine-type Camassa-Holm equation: local well-posedness, Holder continuity, and wave-breaking analysis
期刊论文
MONATSHEFTE FUR MATHEMATIK, 2022, 页码: 38
作者:
Qin, Guoquan
;
Yan, Zhenya
;
Guo, Boling
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2022/04/02
Sine-type Camassa-Holm equation
Well-posedness
Holder continuity
Blow-up criterion and quantity
Wave breaking
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