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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 4, Pages 681–695
(Mi zvmmf10)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf10 https://www.mathnet.ru/eng/zvmmf/v49/i4/p681
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Abstract page: | 201 | Full-text PDF : | 84 | References: | 34 | First page: | 3 |
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