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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
Enriched three-field numerical manifold formulation for dynamics of fractured saturated porous media
期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 卷号: 353, 期号: -, 页码: 217-252
作者:
Wu, Wenan
;
Zheng, Hong
;
Yang, Yongtao
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  |  
浏览/下载:20/0
  |  
提交时间:2020/04/08
Numerical manifold method
Fractured porous media
Dynamic consolidation
Mass lumping
Wave propagation
Local refinement of flat-top partition of unity based high-order approximation
期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 卷号: 116, 期号: 7, 页码: 465-486
作者:
Jiao, Yuyong
;
An, Xinmei
;
Zhao, Zhiye
;
Liu, Xiaoying
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  |  
浏览/下载:27/0
  |  
提交时间:2018/12/29
flat-top partition of unity
high-order approximation
linear independence
local refinement
A high order numerical manifold method and its application to linear elastic continuous and fracture problems
期刊论文
SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2018, 卷号: 61, 期号: 3, 页码: 346-358
作者:
Yang, YongTao
;
Sun, GuanHua
;
Cai, KeJian
;
Zheng, Hong
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  |  
浏览/下载:27/0
  |  
提交时间:2018/06/05
partition of unity based methods
numerical manifold method
Quad4-COLS (NMM)
crack propagation
linear dependence
MLS based local approximation in numerical manifold method
期刊论文
ENGINEERING COMPUTATIONS, 2018, 卷号: 35, 期号: 7, 页码: 2429-2458
作者:
Lin, Shan
;
Li, Wei
;
Zheng, H.
;
Chen, Yuanqiang
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浏览/下载:21/0
  |  
提交时间:2018/12/29
Continuous nodal stress
Linear dependence problem
Moving least square interpolation
Numerical manifold method
Trig3-MLScns
Local refinement of flat-top partition of unity based high-order approximation
期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 卷号: 116, 期号: 7, 页码: 465-486
作者:
Liu, Xiaoying
;
Zhao, Zhiye
;
An, Xinmei
;
Jiao, Yuyong
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  |  
浏览/下载:88/0
  |  
提交时间:2020/04/08
flat-top partition of unity
high-order approximation
linear independence
local refinement
A high order local approximation free from linear dependency with quadrilateral mesh as mathematical cover and applications to linear elastic fractures
期刊论文
COMPUTERS & STRUCTURES, 2017, 卷号: 178, 页码: 1-16
作者:
Zheng, Hong
;
Xu, Dongdong
;
Yang, Yongtao
;
Wu, Aiqing
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浏览/下载:14/0
  |  
提交时间:2018/06/05
Partition of unity based methods
Numerical manifold method
Local approximation
Linear dependency issue
A four-node tetrahedral element with continuous nodal stress
期刊论文
COMPUTERS & STRUCTURES, 2017, 卷号: 191, 页码: 180-192
作者:
Sun, Guanhua
;
Zheng, Hong
;
Yang, Yongtao
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  |  
浏览/下载:21/0
  |  
提交时间:2018/06/05
Partition of unity
FE-Meshfree element
Tetrahedral element
Tetr4-CNS
Mesh distortion
Exact imposition of essential boundary condition and material interface continuity in Galerkin-based meshless methods
期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2017, 卷号: 110, 期号: 7, 页码: 637-660
作者:
Li, Wei
;
Zheng, Hong
;
Du, Xiuli
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  |  
浏览/下载:17/0
  |  
提交时间:2018/06/05
meshless methods
Galerkin variational procedure
partition of unity
numerical manifold method
moving least squares interpolations
On generation of lumped mass matrices in partition of unity based methods
期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2017, 卷号: 112, 期号: 8, 页码: 1040-1069
作者:
Zheng, Hong
;
Yang, Yongtao
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浏览/下载:23/0
  |  
提交时间:2018/06/05
lumped mass matrices
explicit time integration
dynamic crack problems
critical time step
numerical manifold method
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