A method of generative model design based on irregular data in application to heat transfer problems. Issue 1 (July 2021)

• Record Type: Journal Article
• Authors: Bykov, Nikolay; Hvatov, Alexander; Kalyuzhnaya, Anna; Boukhanovsky, Alexander
• Is Part Of: Journal of physics. Volume 1959:Issue 1(2021)
• Publication Date: 2021-07
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1959/1/012012
• Languages: English
• ISSNs: 1742-6588

Abstract

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.