Geodesic
Discontinuous mixed penalty-free Galerkin method for second-order quasilinear elliptic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 11, pp. 1791-1803 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {Discontinuous mixed penalty-free {Galerkin} method for second-order quasilinear elliptic equations},
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R. Z. Dautov; E. M. Fedotov. Discontinuous mixed penalty-free Galerkin method for second-order quasilinear elliptic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 11, pp. 1791-1803. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_11_a3/

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