A method of generative model design based on irregular data in application to heat transfer problems
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.
Citations by journals
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Processes
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Processes
1 publication, 50%
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Moscow University Physics Bulletin (English Translation of Vestnik Moskovskogo Universiteta, Fizika)
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Moscow University Physics Bulletin (English Translation of Vestnik Moskovskogo Universiteta, Fizika)
1 publication, 50%
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1
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Citations by publishers
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Multidisciplinary Digital Publishing Institute (MDPI)
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Multidisciplinary Digital Publishing Institute (MDPI)
1 publication, 50%
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Pleiades Publishing
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Pleiades Publishing
1 publication, 50%
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1
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