Sibirskii Zhurnal Vychislitel'noi Matematiki
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


Sib. Zh. Vychisl. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Zhurnal Vychislitel'noi Matematiki, 2011, Volume 14, Number 4, Pages 381–396 (Mi sjvm450)  
This article is cited in 6 scientific papers (total in 6 papers)

Iterative proximal regularization of a modified Lagrangian functional for solving a semicoercive model problem with friction

N. N. Kushniruka, R. V. Nammb

a Amur State University, Blagoveshchensk
b Pacific National University, Khabarovsk
Full-text PDF (345 kB) Citations (6)
References:
PDF
HTML
Abstract: A problem of unconstrained minimization of a semicoercive nondifferentiable functional corresponding to a model friction problem is reduced to a problem of constrained minimization of a differentiable functional. An algorithm based on an iterative proximal regularization of a modified Lagrangian functional is used for solving the problem thus obtained. Convergence of a finite element solution is investigated. The results of numerical calculation are presented.
Key words: semicoercive friction problem, modified Lagrangian functional, saddle point, Udzava method, iterative proximal regularization, finite element method.
Received: 12.11.2010
Revised: 12.01.2011
English version:
Numerical Analysis and Applications, 2011, Volume 4, Issue 4, Pages 319–332
DOI: https://doi.org/10.1134/S1995423911040057
Bibliographic databases:
Document Type: Article
UDC: 519.853.2+519.632
Language: Russian
Citation: N. N. Kushniruk, R. V. Namm, “Iterative proximal regularization of a modified Lagrangian functional for solving a semicoercive model problem with friction”, Sib. Zh. Vychisl. Mat., 14:4 (2011), 381–396; Num. Anal. Appl., 4:4 (2011), 319–332
Citation in format AMSBIB
\Bibitem{KusNam11}
\by N.~N.~Kushniruk, R.~V.~Namm
\paper Iterative proximal regularization of a~modified Lagrangian functional for solving a~semicoercive model problem with friction
\jour Sib. Zh. Vychisl. Mat.
\yr 2011
\vol 14
\issue 4
\pages 381--396
\mathnet{http://mi.mathnet.ru/sjvm450}
\transl
\jour Num. Anal. Appl.
\yr 2011
\vol 4
\issue 4
\pages 319--332
\crossref{https://doi.org/10.1134/S1995423911040057}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84155195827}
Linking options:
  • https://www.mathnet.ru/eng/sjvm450
  • https://www.mathnet.ru/eng/sjvm/v14/i4/p381
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
    Statistics & downloads:
    Abstract page:462
    Full-text PDF :128
    References:72
    First page:16
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024