Isoepiphanic shapes of high-pressure vessels

S. N. Astrakov, S. K. Golushko, L. A. Korolenko

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We consider the generalized statements of the problems of optimization of geometric shapes for simple and complex domains under given constraints. Along with the condition of minimization of the domain boundary, some additional constraints are introduced on the pointwise or contour “fastening” of the domain. The obtained results can be used for optimal design of high-pressure tanks and vessels, including the multisection ones.

Original languageEnglish
Pages (from-to)305-311
Number of pages7
JournalJournal of Applied and Industrial Mathematics
Issue number3
Publication statusPublished - 1 Jul 2017


  • isoepiphanic and isoperimetric problems
  • pressure vessels
  • the minimum weight


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