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Zh. Vychisl. Mat. Mat. Fiz., 2011, Volume 51, Number 1, Pages 24–38 (Mi zvmmf8043)  

This article is cited in 8 scientific papers (total in 8 papers)

Choosing a cost functional and a difference scheme in the optimal control of metal solidification

A. V. Albu, V. I. Zubov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia

Abstract: The optimal control of solidification in metal casting is considered. The underlying mathematical model is based on a three-dimensional two-phase initial–boundary value problem of the Stefan type. The study is focused on choosing a cost functional in the optimal control of solidification and choosing a difference scheme for solving the direct problem. The results of the study are described and analyzed.

Key words: Stefan problem, heat conduction, solidification, difference scheme, cost functional.

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English version:
Computational Mathematics and Mathematical Physics, 2011, 51:1, 21–34

Bibliographic databases:

UDC: 519.926
Received: 02.07.2010

Citation: A. V. Albu, V. I. Zubov, “Choosing a cost functional and a difference scheme in the optimal control of metal solidification”, Zh. Vychisl. Mat. Mat. Fiz., 51:1 (2011), 24–38; Comput. Math. Math. Phys., 51:1 (2011), 21–34

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. V. Albu, A. F. Albu, V. I. Zubov, “Functional gradient evaluation in the optimal control of a complex dynamical system”, Comput. Math. Math. Phys., 51:5 (2011), 762–780  mathnet  crossref  mathscinet  isi
    2. Albu A. Zubov V., “On the controlling of liquid metal solidification in foundry practice”, Operations Research Proceedings 2011, Operations Research Proceedings, ed. Klatte D. Luthi H. Schmedders K., Springer-Verlag Berlin, 2012, 3–8  crossref  mathscinet  isi
    3. A. V. Albu, A. F. Albu, V. I. Zubov, “Control of substance solidification in a complex-geometry mold”, Comput. Math. Math. Phys., 52:12 (2012), 1612–1623  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    4. G. M. Sevastyanov, A. M. Sevastyanov, V. I. Odinokov, “Ob odnoi nachalno-kraevoi zadache teploprovodnosti v sisteme s fazovymi perekhodami”, Matem. modelirovanie, 25:3 (2013), 119–133  mathnet
    5. A. F. Albu, V. I. Zubov, “On the influence of setup parameters on the control of solidification in metal casting”, Comput. Math. Math. Phys., 53:2 (2013), 170–179  mathnet  crossref  crossref  zmath  adsnasa  isi  elib  elib
    6. A. F. Albu, V. I. Zubov, “Investigation of the optimal control problem for metal solidification in a new formulation”, Comput. Math. Math. Phys., 54:5 (2014), 756–766  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    7. A. F. Albu, V. I. Zubov, “Investigation of the optimal control of metal solidification for a complex-geometry object in a new formulation”, Comput. Math. Math. Phys., 54:12 (2014), 1804–1816  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    8. A. F. Albu, “Control of phase boundary evolution in metal solidification for new thermodynamic parameters of the metal”, Comput. Math. Math. Phys., 56:5 (2016), 756–763  mathnet  crossref  crossref  isi  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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