Trudy Instituta Matematiki i Mekhaniki UrO RAN
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


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 3, Pages 233–241 (Mi timm735)  
This article is cited in 4 scientific papers (total in 4 papers)

Independence of error estimates of interpolation by cubic polynomials from the angles of a triangle

N. V. Latypova

Udmurt State University
Full-text PDF (160 kB) Citations (4)
References:
PDF
HTML
Abstract: We consider two methods of Birkhoff interpolation of a function of two variables by cubic polynomials on a triangle for the finite element method. Error estimates for the proposed cubic elements depend only on the diameter of the partition and do not depend on the angles of triangulation. We show that the obtained estimates cannot be improved.
Keywords: error of interpolation, piecewise cubic polynomial, triangulation, finite element method.
Received: 04.03.2011
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: N. V. Latypova, “Independence of error estimates of interpolation by cubic polynomials from the angles of a triangle”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 3, 2011, 233–241
Citation in format AMSBIB
\Bibitem{Lat11}
\by N.~V.~Latypova
\paper Independence of error estimates of interpolation by cubic polynomials from the angles of a~triangle
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 3
\pages 233--241
\mathnet{http://mi.mathnet.ru/timm735}
\elib{https://elibrary.ru/item.asp?id=17870135}
Linking options:
  • https://www.mathnet.ru/eng/timm735
  • https://www.mathnet.ru/eng/timm/v17/i3/p233
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024