Open Access
Open access
IOP Publishing
Journal of Physics: Conference Series
,  volume 1959 ,  issue 1 ,  pages 12012

A method of generative model design based on irregular data in application to heat transfer problems

Nikolay Bykov
, 
Alexander Hvatov
, 
Alexander Boukhanovsky
, 
Anna Kalyuzhnaya
Publication type: Journal Article
Publication date: 2021-07-01
IOP Publishing
SJR: 0.187
CiteScore: 1.3
Impact factor: —
ISSN: 17426588, 17426596
General Physics and Astronomy
Abstract

The paper presents the results of applying the generative design method to reconstruct a model driven by irregular data in the form of a partial differential equation. The problem of non-stationary heating of a metal rod is considered as an example. The finite element method is used to construct templates of possible elements of the derived differential equation. The optimization algorithm for determining a model design is based on the procedure of best subset selection. The efficiency of the method for derivating a model of the thermal conduction process based on irregular data is shown. As irregular data, data obtained on spatial meshes with alternating steps of different size, or a step changing in arithmetic progression, are considered.

Found 
Found 
2 citations
Hvatov Alexander
🥼 🤝
PhD in Physics and Mathematics
49 publications,  234 citations,  25 reviews
h-index: 8
ITMO University
ITMO University
Research interests
Artificial intelligence (AI)
Differential equations
Equation discovery
Evolutionary optimization
PINN
1 citation
Obraztsov Nikita
🥼 🤝
PhD in Engineering
37 publications,  67 citations
h-index: 5
Institute of Electrophysics and Electric Power Engineering of the Russian Academy of Sciences
Institute of Electrophysics and Electric Power Engineering of the Russian Academy of Sciences
Peter the Great St. Petersburg Polytechnic University
Peter the Great St. Petersburg Polytechnic University
Research interests
Cold plasma
Computational Physics
Comsol
Distributed computing
Electric power industry
Electrical devices
Electromagnetics
Electronics
Energy industry
Heat exchange
High Energy Physics
Hydrodynamics
Magnetic hydrodynamics
Mathematical modeling
Nonequilibrium processes
Physics of high temperatures
Plasma Physics
Plasma waste disposal
Radiation transfer
Thermodynamics
Thermophysics

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GOST Copy
Bykov N. et al. A method of generative model design based on irregular data in application to heat transfer problems // Journal of Physics: Conference Series. 2021. Vol. 1959. No. 1. p. 12012.
GOST all authors (up to 50) Copy
Bykov N., Hvatov A., Boukhanovsky A., Kalyuzhnaya A. A method of generative model design based on irregular data in application to heat transfer problems // Journal of Physics: Conference Series. 2021. Vol. 1959. No. 1. p. 12012.
RIS |
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RIS Copy
TY - JOUR
DO - 10.1088/1742-6596/1959/1/012012
UR - https://doi.org/10.1088/1742-6596/1959/1/012012
TI - A method of generative model design based on irregular data in application to heat transfer problems
T2 - Journal of Physics: Conference Series
AU - Bykov, Nikolay
AU - Hvatov, Alexander
AU - Boukhanovsky, Alexander
AU - Kalyuzhnaya, Anna
PY - 2021
DA - 2021/07/01
PB - IOP Publishing
SP - 12012
IS - 1
VL - 1959
SN - 1742-6588
SN - 1742-6596
ER -
BibTex |
Cite this
BibTex (up to 50 authors) Copy
@article{2021_Bykov,
author = {Nikolay Bykov and Alexander Hvatov and Alexander Boukhanovsky and Anna Kalyuzhnaya},
title = {A method of generative model design based on irregular data in application to heat transfer problems},
journal = {Journal of Physics: Conference Series},
year = {2021},
volume = {1959},
publisher = {IOP Publishing},
month = {jul},
url = {https://doi.org/10.1088/1742-6596/1959/1/012012},
number = {1},
pages = {12012},
doi = {10.1088/1742-6596/1959/1/012012}
}
MLA
Cite this
MLA Copy
Bykov, Nikolay, et al. “A method of generative model design based on irregular data in application to heat transfer problems.” Journal of Physics: Conference Series, vol. 1959, no. 1, Jul. 2021, p. 12012. https://doi.org/10.1088/1742-6596/1959/1/012012.