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Preprints of the Keldysh Institute of Applied Mathematics, 2005, 059, 26 pp. (Mi ipmp700)  

This article is cited in 1 scientific paper (total in 1 paper)

Development , research and application of a finite superelements method for solution of biharmonical equation

M. P. Galanin, D. S. Milyutin, E. B. Savenkov
Full-text PDF Citations (1)
Abstract: In this work finite superelements method (FSEM) for solution of biharmonical equation in bounded domains is proposed and developed. The method is based on splitting of domain into subdomains with the solution of a number of intermediary problems, every of which is boundary value problem for biharmonical equation with boundary condition, being basis for interpolation of searching solution on a superlements boundaries. The initial problem solution is found as an expansion on the constructed function system. It is shown that solution of general problem can be recovered using functions and traces found above. Error estimates for one case of FSEM are obtained.
Document Type: Preprint
Language: Russian
Citation: M. P. Galanin, D. S. Milyutin, E. B. Savenkov, “Development , research and application of a finite superelements method for solution of biharmonical equation”, Keldysh Institute preprints, 2005, 059, 26 pp.
Citation in format AMSBIB
\Bibitem{GalMilSav05}
\by M.~P.~Galanin, D.~S.~Milyutin, E.~B.~Savenkov
\paper Development , research and application of a finite superelements method for solution of biharmonical equation
\jour Keldysh Institute preprints
\yr 2005
\papernumber 059
\totalpages 26
\mathnet{http://mi.mathnet.ru/ipmp700}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
     
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