@Article{IJNAM-19-4,
author = {Yang, L, Andy and Gu, Feng},
title = {A Mesh-Less, Ray-Based Deep Neural Network Method for the Helmholtz Equation with High Frequency},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2022},
volume = {19},
number = {4},
pages = {587--601},
abstract = {<p style="text-align: justify;">This article introduces a mesh-less, ray-based deep neural network method to solve the
Helmholtz equation with high frequency. This method does not use an adaptive mesh refinement
method, nor does it design a numerical scheme using some specially designed basis function to
calculate the numerical solution, but it has the advantages of easy implementation and no mesh.
We have carried out various numerical examples to prove the accuracy and efficiency of the
proposed numerical method.</p>},
issn = {2617-8710},
doi = {https://doi.org/2022-IJNAM-20660},
url = {https://global-sci.com/article/82950/a-mesh-less-ray-based-deep-neural-network-method-for-the-helmholtz-equation-with-high-frequency}
}