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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 4, Pages 681–695 (Mi zvmmf10)  
This article is cited in 1 scientific paper (total in 1 paper)

Mortar method for matching grids in a mixed scheme as applied to the biharmonic equation

L. V. Maslovskaya, O. M. Maslovskaya

Odessa National University, Dvoryanskaya ul. 2, Odessa, 65074, Ukraine
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Abstract: Nitsche's mortar method for matching grids in the Hermann–Miyoshi mixed scheme for the biharmonic equation is considered. A two-parameter mortar problem is constructed and analyzed. Existence and uniqueness theorems are proved under certain constraints on the parameters. The norm of the difference between the solutions to the mortar and original problems is estimated. The convergence rates are the same as in the Hermann–Miyoshi scheme on matching grids.
Key words: matching of grids, Hermann–Miyoshi scheme, mortar method, convergence rate.
Received: 28.03.2008
Revised: 29.06.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 4, Pages 657–671
DOI: https://doi.org/10.1134/S0965542509040101
Bibliographic databases:
Document Type: Article
UDC: 519.635.1
Language: Russian
Citation: L. V. Maslovskaya, O. M. Maslovskaya, “Mortar method for matching grids in a mixed scheme as applied to the biharmonic equation”, Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009), 681–695; Comput. Math. Math. Phys., 49:4 (2009), 657–671
Citation in format AMSBIB
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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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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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