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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：78/0  |  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：63/0  |  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：68/0  |  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
收藏  |  浏览/下载：72/0  |  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：70/0  |  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
收藏  |  浏览/下载：46/0  |  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
收藏  |  浏览/下载：101/0  |  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
收藏  |  浏览/下载：65/0  |  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：123/0  |  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：116/0  |  提交时间：2022/04/02
Sine-type Camassa-Holm equation  Well-posedness  Holder continuity  Blow-up criterion and quantity  Wave breaking