The Proceedings of The Computational Mechanics Conference
Online ISSN : 2424-2799
2023.36
Session ID : OS-1303
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Computation of PINNs in a Linear Magnetostatic Analysis
*Masao OGINO
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Abstract

Physics-informed neural network (PINNs or PINN) is supervised learning for approximating the initial-boundary value problems of partial differential equations. This research focuses on the magnetostatic field problem derived from Maxwell's equations and evaluate the performance of large-scale computation and parallel computation of PINN. In finite element analysis, which is a conventional numerical analysis method, the magnetostatic field is formulated with the magnetic vector potential ‘A’ as an unknown. However, since the three-dimensional magnetostatic field problem has indefiniteness, it is necessary to solve a singular problem or construct an equation with the indefiniteness removed. This study also applies PINN to partial differential equations based on the A-formulation.

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© 2023 The Japan Society of Mechanical Engineers
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