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Identification of unknown space-varying wavenumber in Helmholtz equation using physics-informed neural networks
Zhang, Guangtao1; Pan, Guanyu2,3; Leong, Ieng Tak1; Yang, Huiyu2,3; Xu, Zikun2
2023-10
Conference Name5th International Conference on Artificial Intelligence and Computer Science (AICS 2023)
Source PublicationProceedings of SPIE - The International Society for Optical Engineering
Volume12803
Conference DateJuly 26th-28th
Conference PlaceWuhan, China
CountryChina
Abstract

Many wave and diffusion processes can be modeled with the Helmholtz equation, essential in wavefield computation. The unknown parameter identification is an efficient way to help researchers to understand the governing physics of a process. Classical methods for inverse problems require solving the forward equation many times, which leads to expensive computational costs as the model size increases. Recently, physics-informed neural networks (PINNs) have shown good performance in solving inverse problems due to their strong ability to represent PDEs and observed data. Benefits from the ability of neural networks to fit the observed data, there is no need to calculate the forward problem many times if we used classical methods. In this work, we identify the unknown space-varying parameter of wavenumber in the Helmholtz equation using physics-informed neural networks (PINNs). Through experiments, we also demonstrate the robustness of our method in handling high-noisy (up to 10%) data.

KeywordHelmholtz Equation Parameter Identification Physics-informed Neural Networks (Pinn) Space-varying Parameter
DOI10.1117/12.3009457
URLView the original
Language英語English
Scopus ID2-s2.0-85176506673
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Document TypeConference paper
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorLeong, Ieng Tak
Affiliation1.Department of Mathematics, Faculty of Science and Technology, University of Macau, 999078, Macao
2.College of Mathematics and Informatics, South China Agricultural University, Guangzhou, Guangdong, 510006, China
3.SandGold AI Research, Guangzhou, Guangdong, 510006, China
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Zhang, Guangtao,Pan, Guanyu,Leong, Ieng Tak,et al. Identification of unknown space-varying wavenumber in Helmholtz equation using physics-informed neural networks[C], 2023.
APA Zhang, Guangtao., Pan, Guanyu., Leong, Ieng Tak., Yang, Huiyu., & Xu, Zikun (2023). Identification of unknown space-varying wavenumber in Helmholtz equation using physics-informed neural networks. Proceedings of SPIE - The International Society for Optical Engineering, 12803.
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