title: Numerical methods for solving optimal control for Stefan problems
metadata.name: dc.contributor.author
metadata.value: Nekrasov, Sergej A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Volkov, Vladimir S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-08-02T10:58:18Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-08-02T10:58:18Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-06
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/2528
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article describes the mathematical model and a numerical method for the calculation
  and optimization of temperature fields with regard to phase transformations and the nonlinear
  material properties. It proposes a finite-difference method and a computer program that will
  effectively implement the computer simulation and optimization of thermal processes during
  melting and crystallization of the product. Direct Stefan problem was solved on the basis of
  one of the options through “enthalpic” method. The solution of the dual problem is found by
  smoothing the concentrated heat capacity and other parameters and characteristics of a feature
  such as a delta function. The article deals with a number of examples of optimization problems
  under various restrictions: minimizing energy consumption for melting the material, finding the
  maximum (minimum) temperature field, as well as two-sided estimate gradient of the solution
  at a given point in the area. In the above case, the functions of control are the source of the
  bulk power density, the values of which are located in a strip of arbitrary width. The results can be used in the practice of research and design in the field of metallurgy, electrical appliances,
  сryogenic etc. Refs 12. Figs 7. Tables 3.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Series 10. Applied Mathematics. Computer Science. Control Processes;Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: Stefan problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimal control
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: temperature field
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: phase transitions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: enthalpy method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: smoothing
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Numerical methods for solving optimal control for Stefan problems
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Некрасов_Волков.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/2528/1/%d0%9d%d0%b5%d0%ba%d1%80%d0%b0%d1%81%d0%be%d0%b2_%d0%92%d0%be%d0%bb%d0%ba%d0%be%d0%b2.pdf
resources.format: Adobe PDF
resources.size: 497,83 kB