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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 4, Pages 36–45 (Mi ivm6723)  
This article is cited in 2 scientific papers (total in 2 papers)

Solution of a semicoercive Signorini problem by a method of iterative proximal regularization of a modified Lagrange functional

R. V. Namm, A. S. Tkachenko

Chair of Computer and Computer-Based Systems Software, Pacific State University, Khabarovsk, Russia
Full-text PDF (316 kB) Citations (2)
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Abstract: Duality methods based on classical schemes for constructing Lagrange functionals are inapplicable for solving semicoercive variational inequalities in mechanics. In this paper we approximately solve a scalar semicoercive Signorini problem, using a duality method based on the iterative proximal regularization of a modified Lagrange functional. We realize the algorithm with the help of the finite element method on a sequence of domain triangulations.
Keywords: functional, saddle point, iterative regularization, Uzawa method, triangulation, finite elements.
Received: 21.03.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 4, Pages 31–39
DOI: https://doi.org/10.3103/S1066369X10040043
Bibliographic databases:
UDC: 519.642
Language: Russian
Citation: R. V. Namm, A. S. Tkachenko, “Solution of a semicoercive Signorini problem by a method of iterative proximal regularization of a modified Lagrange functional”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 4, 36–45; Russian Math. (Iz. VUZ), 54:4 (2010), 31–39
Citation in format AMSBIB
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\by R.~V.~Namm, A.~S.~Tkachenko
\paper Solution of a~semicoercive Signorini problem by a~method of iterative proximal regularization of a~modified Lagrange functional
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 4
\pages 36--45
\mathnet{http://mi.mathnet.ru/ivm6723}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2779410}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 4
\pages 31--39
\crossref{https://doi.org/10.3103/S1066369X10040043}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649577591}
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  • https://www.mathnet.ru/eng/ivm/y2010/i4/p36
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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