Year: 2022
Author: Andy L Yang, Feng Gu
International Journal of Numerical Analysis and Modeling, Vol. 19 (2022), Iss. 4 : pp. 587–601
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2022-IJNAM-20660
International Journal of Numerical Analysis and Modeling, Vol. 19 (2022), Iss. 4 : pp. 587–601
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Deep learning plane wave deep Neural Network loss high frequency Helmholtz equation.