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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 11, Pages 1791–1803
DOI: https://doi.org/10.7868/S0044466913110021 (Mi zvmmf9942) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Discontinuous mixed penalty-free Galerkin method for second-order quasilinear elliptic equations

R. Z. Dautov, E. M. Fedotov

Kazan Federal University, ul. Kremlevskaya 18, Kazan, 420008, Tatarstan, Russia
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DOI: https://doi.org/10.7868/S0044466913110021
Abstract: Discrete schemes for finding an approximate solution of the Dirichlet problem for a second-order quasilinear elliptic equation in conservative form are investigated. The schemes are based on the discontinuous Galerkin method (DG schemes) in a mixed formulation and do not involve internal penalty parameters. Error estimates typical of DG schemes with internal penalty are obtained. A new result in the analysis of the schemes is that they are proved to satisfy the Ladyzhenskaya–Babuska–Brezzi condition (inf-sup) condition.
Key words: discontinuous Galerkin method, mixed method, quasilinear elliptic equations, error estimate, LBB condition.
Received: 21.02.2013
Revised: 22.05.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 11, Pages 1614–1625
DOI: https://doi.org/10.1134/S096554251311002X
Bibliographic databases:
Document Type: Article
UDC: 519.632.4
Language: Russian
Citation: R. Z. Dautov, E. M. Fedotov, “Discontinuous mixed penalty-free Galerkin method for second-order quasilinear elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 53:11 (2013), 1791–1803; Comput. Math. Math. Phys., 53:11 (2013), 1614–1625
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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