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Solution of a semicoercive Signorini problem by a method of iterative proximal regularization of a modified Lagrange functional

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Abstract

Duality methods based on classical schemes for constructing Lagrange functional 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.

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Authors and Affiliations

  1. Pacific State University, ul. Tikhookeanskaya 136, Khabarovsk, 680035, Russia

    R. V. Namm & A. S. Tkachenko

Authors
  1. R. V. Namm
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  2. A. S. Tkachenko
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Correspondence to R. V. Namm.

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Original Russian Text © R. V. Namm and A.S. Tkachenko, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 4, pp. 36–45.

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Namm, R.V., Tkachenko, A.S. Solution of a semicoercive Signorini problem by a method of iterative proximal regularization of a modified Lagrange functional. Russ Math. 54, 31–39 (2010). https://doi.org/10.3103/S1066369X10040043

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  • DOI: https://doi.org/10.3103/S1066369X10040043

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