Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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



Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 4, Pages 57–61 (Mi vmumm255)  

Short notes

Numerical solution of boundary integral equations of the plane theory of elasticity in curvilinear polygons

I. O. Arushanyan

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Abstract: A numerical method for solving boundary integral equations of the plane theory of elasticity in domains with piecewise analytic boundaries and a finite number of corner points is proposed. This method is based on the application of a family of composite quadrature formulas on condensing grids. It is proved that the proposed method is exponentially convergent with respect to the number of quadrature nodes in use.
Key words: double-layer potential, boundary integral equations, theory of elasticity, corner points, condensing grids, quadrature method.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00096a
14-01-00731а
Received: 19.11.2014
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 4, Pages 193–196
DOI: https://doi.org/10.3103/S0027132215040099
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: I. O. Arushanyan, “Numerical solution of boundary integral equations of the plane theory of elasticity in curvilinear polygons”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 4, 57–61; Moscow University Mathematics Bulletin, 70:4 (2015), 193–196
Citation in format AMSBIB
\Bibitem{Aru15}
\by I.~O.~Arushanyan
\paper Numerical solution of boundary integral equations of the plane theory of elasticity in curvilinear polygons
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2015
\issue 4
\pages 57--61
\mathnet{http://mi.mathnet.ru/vmumm255}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3460073}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2015
\vol 70
\issue 4
\pages 193--196
\crossref{https://doi.org/10.3103/S0027132215040099}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000218413200008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84940844622}
Linking options:
  • https://www.mathnet.ru/eng/vmumm255
  • https://www.mathnet.ru/eng/vmumm/y2015/i4/p57
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:68
    Full-text PDF :26
    References:22
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024