Summary

2023

Session Number:B4L-3

Session:

Number:B4L-33

Super Resolution of Numerical Solutions of Nonlinear Elliptic Equations by DeepONet

Chen Yuhan,  Matsubara Takashi,  Yaguchi Takaharu,  

pp.370-373

Publication Date:2023-09-21

Online ISSN:2188-5079

DOI:10.34385/proc.76.B4L-33

PDF download (284KB)

Summary:
In recent years, super resolution has been widely used to enhance the resolution of images, thereby obtaining clearer images. In the field of physics simulation, super-resolution technique has also been actively developed. However, existing methods based on standard neural networks work on a single scale factor, making it unsuitable for cases where arbitrary super-resolution scale factors are required. Meanwhile, DeepONet is a deep learning framework capable of learning operators between function spaces. In this paper, we propose a DeepONet-based approach to super resolution of numerical solutions of nonlinear partial differential equations. Some experimental results are also provided.