Matematicheskoe modelirovanie
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



Matem. Mod.:
Year:
Volume:
Issue:
Page:
Find






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


Matematicheskoe modelirovanie, 1996, Volume 8, Number 9, Pages 53–62 (Mi mm1619)  

Proceedins of the International Conference on the Optimization of the Finite Element Approximations (OFEA-95), St.-Petersburg, 25–29 June 1995

Multigrid algorithms with implicit extrapolation for solving finite element equations

M. Junga, U. Rüdeb

a Chemnitz University of Technology
b Technische Universität München, Fakultät für Informatik
Abstract: We present a multigrid algorithm with an implicit extrapolation step for solving second-order elliptic boundary value problems in two-dimensional domains. The boundary value problem is discretized by using finite elements with piecewise linear functions and non-standard quadrature rules for the computation of the finite element stiffness matrices and the load vectors. The implicit extrapolation leads to an improvement of the accuracy of the finite element solution. We have shown that the iterates of the multigrid algorithm with extrapolation converge to that finite element solution which we would get by a discretization with piecewise quadratic functions. A numerical example illustrates this fact.
Bibliographic databases:
Language: English
Citation: M. Jung, U. Rüde, “Multigrid algorithms with implicit extrapolation for solving finite element equations”, Matem. Mod., 8:9 (1996), 53–62
Citation in format AMSBIB
\Bibitem{JunRud96}
\by M.~Jung, U.~R\"ude
\paper Multigrid algorithms with implicit extrapolation for solving finite element equations
\jour Matem. Mod.
\yr 1996
\vol 8
\issue 9
\pages 53--62
\mathnet{http://mi.mathnet.ru/mm1619}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1444872}
\zmath{https://zbmath.org/?q=an:0981.65511}
Linking options:
  • https://www.mathnet.ru/eng/mm1619
  • https://www.mathnet.ru/eng/mm/v8/i9/p53
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
    Statistics & downloads:
    Abstract page:256
    Full-text PDF :114
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024