Geodesic
Iterative proximal regularization of a~modified Lagrangian functional for solving a~semicoercive model problem with friction
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 4, pp. 381-396

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A problem of unconstrained minimization of a semicoercive nondifferentiable functional corresponding to a model friction problem is reduced to a problem of constrained minimization of a differentiable functional. An algorithm based on an iterative proximal regularization of a modified Lagrangian functional is used for solving the problem thus obtained. Convergence of a finite element solution is investigated. The results of numerical calculation are presented. 
@article{SJVM_2011_14_4_a3,
     author = {N. N. Kushniruk and R. V. Namm},
     title = {Iterative proximal regularization of a~modified {Lagrangian} functional for solving a~semicoercive model problem with friction},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {381--396},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a3/}
}
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N. N. Kushniruk; R. V. Namm. Iterative proximal regularization of a~modified Lagrangian functional for solving a~semicoercive model problem with friction. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 4, pp. 381-396. http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a3/