On Error Estimates for a Variant of the Mixed Finite Element Method
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 2, pp. 44-53

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The mixed finite element method for the second order quasilinear elliptic problems with a strongly monotone and locally Lipschitz continuous operator is investigated. The error estimates are obtained in the case when the gradient of the required solution is chosen as an auxiliary variable in the construction of the mixed finite element method.
Keywords: quasilinear elliptic equation, mixed finite element method, error estimates.
@article{UZKU_2013_155_2_a3,
     author = {A. P. Gogin and M. M. Karchevsky},
     title = {On {Error} {Estimates} for a {Variant} of the {Mixed} {Finite} {Element} {Method}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {44--53},
     publisher = {mathdoc},
     volume = {155},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2013_155_2_a3/}
}
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A. P. Gogin; M. M. Karchevsky. On Error Estimates for a Variant of the Mixed Finite Element Method. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 2, pp. 44-53. http://geodesic.mathdoc.fr/item/UZKU_2013_155_2_a3/