Geodesic
Predicting subdifferential switching surface in a steady-state complex heat transfer problem using deep learning
Dalʹnevostočnyj matematičeskij žurnal, Tome 22 (2022) no. 2, pp. 190-194

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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. 
@article{DVMG_2022_22_2_a10,
     author = {K. S. Kuznetsov and E. V. Amosova},
     title = {Predicting subdifferential switching surface in a steady-state complex heat transfer problem using deep learning},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {190--194},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2022_22_2_a10/}
}
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K. S. Kuznetsov; E. V. Amosova. Predicting subdifferential switching surface in a steady-state complex heat transfer problem using deep learning. Dalʹnevostočnyj matematičeskij žurnal, Tome 22 (2022) no. 2, pp. 190-194. http://geodesic.mathdoc.fr/item/DVMG_2022_22_2_a10/