On Approximative Methods for Solving Quasi-Variational Inequalities of the Soft Network Shells Theory
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 3, pp. 104-116

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The article investigates the convergence of the finite element schemes for the problem of finding an equilibrium position of a soft network shells subjected to mass forces and following surface load. The convergence proof is based on constructing an iterative method of solving the finite dimensional approximation of quasi-variational inequality arising by mathematical formulation of the problem considered.
Keywords: quasi-variational inequalities, soft network shells, finite element method, iterative methods.
@article{UZKU_2008_150_3_a10,
     author = {I. B. Badriev and V. V. Banderov and O. A. Zadvornov},
     title = {On {Approximative} {Methods} for {Solving} {Quasi-Variational} {Inequalities} of the {Soft} {Network} {Shells} {Theory}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     url = {http://geodesic.mathdoc.fr/item/UZKU_2008_150_3_a10/}
}
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I. B. Badriev; V. V. Banderov; O. A. Zadvornov. On Approximative Methods for Solving Quasi-Variational Inequalities of the Soft Network Shells Theory. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 3, pp. 104-116. http://geodesic.mathdoc.fr/item/UZKU_2008_150_3_a10/