张慊, 乔丹, 唐少强. 运用机器学习方法设计原子链人工边界条件 1)[J]. 力学与实践, 2020, 42(1): 13-16. DOI: 10.6052/1000-0879-19-412
引用本文: 张慊, 乔丹, 唐少强. 运用机器学习方法设计原子链人工边界条件 1)[J]. 力学与实践, 2020, 42(1): 13-16. DOI: 10.6052/1000-0879-19-412
ZHANG Qian, QIAO Dan, TANG Shaoqiang. DESIGNING ARTIFICIAL BOUNDARY CONDITIONS FOR ATOMIC CHAINS BY MACHINE LEARNING 1)[J]. MECHANICS IN ENGINEERING, 2020, 42(1): 13-16. DOI: 10.6052/1000-0879-19-412
Citation: ZHANG Qian, QIAO Dan, TANG Shaoqiang. DESIGNING ARTIFICIAL BOUNDARY CONDITIONS FOR ATOMIC CHAINS BY MACHINE LEARNING 1)[J]. MECHANICS IN ENGINEERING, 2020, 42(1): 13-16. DOI: 10.6052/1000-0879-19-412

运用机器学习方法设计原子链人工边界条件 1)

DESIGNING ARTIFICIAL BOUNDARY CONDITIONS FOR ATOMIC CHAINS BY MACHINE LEARNING 1)

  • 摘要: 本文运用机器学习方法设计一维线性原子链的人工边界条件。该方法基于前馈神经网络,通过对一小部分数值解进行训练后得到人工边界条件。应用该法不需要较多先验知识,编程简单,实现速度快,算例表明数值反射较小。

     

    Abstract: In this paper, we adopt machine learning techniques to design artificial boundary conditions for one-dimensional linear atomic chain. Training a feedforward neural network with a small amount of numerical solutions, we obtain artificial boundary conditions. This approach requires little prior information, and programming and computation are fast. Numerical examples illustrate a relatively small reflection.

     

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