Geodesic
Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 3, pp. 463-480 
R. Z. Dautov; E. M. Fedotov. Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 3, pp. 463-480. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_3_a9/
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     title = {Abstract theory of hybridizable discontinuous {Galerkin} methods for second-order quasilinear elliptic problems},
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Voir la notice de l'article provenant de la source Math-Net.Ru

An abstract theory for discretizations of second-order quasilinear elliptic problems based on the mixed-hybrid discontinuous Galerkin method. Discrete schemes are formulated in terms of approximations of the solution to the problem, its gradient, flux, and the trace of the solution on the interelement boundaries. Stability and optimal error estimates are obtained under minimal assumptions on the approximating space. It is shown that the schemes admit an efficient numerical implementation.

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