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Preprints of the Keldysh Institute of Applied Mathematics, 2015, 089, 27 pp. (Mi ipmp2051)  
This article is cited in 3 scientific papers (total in 3 papers)

Lagrange multiplier method implementations for two-dimensional contact problems

M. P. Galanin, P. V. Gliznutsina, V. V. Lukin, A. S. Rodin
Full-text PDF (1782 kB) Citations (3)
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Abstract: The two-dimensional elastic contact problem is considered. Finite element method with bilinear shape functions are used. The Lagrange multiplier method for contact conditions implementation is used in three ways: node-to-surface method, mortar method and advanced mortar method. The tests showed that the mortar method and the advanced mortar method are more accurate, than the node-to-surface method. The advanced mortar method is able to smooth the stress field fluctuations, but only in limited number of problems.
Keywords: contact problem, finite element method, Lagrange multiplier, node-to-surface method, standart mortar method, advanced mortar method.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-31496
15-01-03073
Document Type: Preprint
Language: Russian
Citation: M. P. Galanin, P. V. Gliznutsina, V. V. Lukin, A. S. Rodin, “Lagrange multiplier method implementations for two-dimensional contact problems”, Keldysh Institute preprints, 2015, 089, 27 pp.
Citation in format AMSBIB
\Bibitem{GalGliLuk15}
\by M.~P.~Galanin, P.~V.~Gliznutsina, V.~V.~Lukin, A.~S.~Rodin
\paper Lagrange multiplier method implementations for two-dimensional contact problems
\jour Keldysh Institute preprints
\yr 2015
\papernumber 089
\totalpages 27
\mathnet{http://mi.mathnet.ru/ipmp2051}
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  • https://www.mathnet.ru/eng/ipmp/y2015/p89
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
    Statistics & downloads:
    Abstract page:258
    Full-text PDF :128
    References:30
    First page:1
     
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