Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2011, Volume 153, Book 4, Pages 59–66 (Mi uzku1080)  
Lower estimates for the equivalence constant of the torsional rigidity and the moment of inertia about a boundary

D. A. Abramov

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University
Full-text PDF (299 kB)
References:
PDF
HTML
Abstract: In this paper, we consider the problem of approximate computation of the torsional rigidity coefficient for simply-connected domains. An approach to the distance function determination is defined; a numerical method for calculating the moment of inertia about a boundary is proposed. Using a numerical experiment, the estimate for the equivalence constant of the torsional rigidity coefficient and the moment of inertia about a boundary is improved.
Keywords: torsional rigidity, moment of inertia about a boundary, conjugate gradients method, Dirichlet problem.
Received: 15.04.2011
Document Type: Article
UDC: 517.5
Language: Russian
Citation: D. A. Abramov, “Lower estimates for the equivalence constant of the torsional rigidity and the moment of inertia about a boundary”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 153, no. 4, Kazan University, Kazan, 2011, 59–66
Citation in format AMSBIB
\Bibitem{Abr11}
\by D.~A.~Abramov
\paper Lower estimates for the equivalence constant of the torsional rigidity and the moment of inertia about a~boundary
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2011
\vol 153
\issue 4
\pages 59--66
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1080}
Linking options:
  • https://www.mathnet.ru/eng/uzku1080
  • https://www.mathnet.ru/eng/uzku/v153/i4/p59
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
    Statistics & downloads:
    Abstract page:284
    Full-text PDF :124
    References:30
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024