Far Eastern Mathematical Journal

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Predicting subdifferential switching surface in a steady-state complex heat transfer problem using deep learning


K.S. Kuznetsov, E.V. Amosova

2022, issue 2, P. 190-194
DOI: https://doi.org/10.47910/FEMJ202224


Abstract
A boundary value problem of complex heat transfer have been considered in the work. A method for determination of a switching surface with subdifferential boundary conditions based on the use of deep learning has been proposed. A method uses a neural network trained on a dataset of numerical solutions of the steady-state complex heat transfer forward problems. The obtained results are verified by comparison with the numerical experiments.

Keywords:
subdifferential boundary value problem, deep learning, neural networks, complex heat transfer

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