Geodesic
Solution of a~semicoercive Signorini problem by a~method of iterative proximal regularization of a~modified Lagrange functional
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2010), pp. 36-45

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Duality methods based on classical schemes for constructing Lagrange functionals are inapplicable for solving semicoercive variational inequalities in mechanics. In this paper we approximately solve a scalar semicoercive Signorini problem, using a duality method based on the iterative proximal regularization of a modified Lagrange functional. We realize the algorithm with the help of the finite element method on a sequence of domain triangulations.
Keywords: functional, saddle point, iterative regularization, Uzawa method, finite elements.
Mots-clés : triangulation 
@article{IVM_2010_4_a3,
     author = {R. V. Namm and A. S. Tkachenko},
     title = {Solution of a~semicoercive {Signorini} problem by a~method of iterative proximal regularization of a~modified {Lagrange} functional},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {36--45},
     publisher = {mathdoc},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_4_a3/}
}
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R. V. Namm; A. S. Tkachenko. Solution of a~semicoercive Signorini problem by a~method of iterative proximal regularization of a~modified Lagrange functional. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2010), pp. 36-45. http://geodesic.mathdoc.fr/item/IVM_2010_4_a3/