E. M. Vikhtenko, N. N. Maksimova, R. V. Namm, “A sensitivity functionals in variational inequalities of mechanics and their application to duality schemes”, Sib. Zh. Vychisl. Mat., 17:1 (2014), 43–52; Num. Anal. Appl., 7:1 (2014), 36

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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2014, Volume 17, Number 1, Pages 43–52 (Mi sjvm530)

This article is cited in 11 scientific papers (total in 11 papers)

A sensitivity functionals in variational inequalities of mechanics and their application to duality schemes

E. M. Vikhtenko^a, N. N. Maksimova^b, R. V. Namm^c

^a Pacific National University, ul. Tikhookeanskaya 136, Khabarovsk, 680035, Russia
^b Amur State University, Ignatievskoe sh. 21, Blagoveshchensk, 675027, Russia
^c Computing Center FEB RAS, ul. Kim Yu Chena 65, Khabarovsk, 680000, Russia

Full-text PDF (394 kB) Citations (11)

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Abstract: Characteristic properties of a sensitivity functional in the variational inequalities mechanics on an example of a scalar Signorini problem are investigated. Applications of sensitivity functionals in duality schemes are considered.

Key words: scalar Signorini problem, duality scheme, modified Lagrangian functional, sensitivity functional.

Received: 23.10.2012
Revised: 03.04.2013

English version:
Numerical Analysis and Applications, 2014, Volume 7, Issue 1, Pages 36–44
DOI: https://doi.org/10.1134/S1995423914010042

Bibliographic databases:

Document Type: Article

UDC: 519.853.2+519.632

Language: Russian

Citation: E. M. Vikhtenko, N. N. Maksimova, R. V. Namm, “A sensitivity functionals in variational inequalities of mechanics and their application to duality schemes”, Sib. Zh. Vychisl. Mat., 17:1 (2014), 43–52; Num. Anal. Appl., 7:1 (2014), 36–44

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/sjvm530

https://www.mathnet.ru/eng/sjvm/v17/i1/p43

This publication is cited in the following 11 articles:

A. V. Zhiltsov, N. N. Maksimova, “Dvoistvennyi metod dlya resheniya zadachi o ravnovesii tela, soderzhaschego tonkii defekt”, Sib. zhurn. vychisl. matem., 26:2 (2023), 183–198
A. V. Zhiltsov, N. N. Maksimova, “A Dual Method for Solving an Equilibrium Problem of a Body Containing a Thin Defect”, Numer. Analys. Appl., 16:2 (2023), 154
R.V. Namm, G.I. Tsoy, “Solution of the static contact problem with Coulomb friction between an elastic body and a rigid foundation”, Journal of Computational and Applied Mathematics, 419 (2023), 114725
R. V. Namm, G. I. Tsoi, “Duality method for solving 3D contact problems with friction”, Comput. Math. Math. Phys., 63:7 (2023), 1350–1361
Namm V R. Tsoy I G., “Modified Duality Methods For Solving An Elastic Crack Problem With Coulomb Friction on the Crack Faces”, Open Comput. Sci., 10:1 (2020), 276–282
R. V. Namm, G. I. Tsoi, “Solution of a contact elasticity problem with a rigid inclusion”, Comput. Math. Math. Phys., 59:4 (2019), 659–666
Robert Namm, Georgiy Tsoy, Ellina Vikhtenko, Communications in Computer and Information Science, 974, Optimization and Applications, 2019, 35
R. V. Namm, G. I. Tsoy, “A modified dual scheme for solving an elastic crack problem”, Num. Anal. Appl., 10:1 (2017), 37–46
E. M. Vikhtenko, G. S. Vu, R. V. Namm, “Modifitsirovannaya skhema dvoistvennosti dlya zadach konechnomernoi i beskonechnomernoi vypukloi optimizatsii”, Dalnevost. matem. zhurn., 17:2 (2017), 158–169
E. M. Vikhtenko, R. V. Namm, “O metode dvoistvennosti dlya resheniya modelnoi zadachi s treschinoi”, Tr. IMM UrO RAN, 22, no. 1, 2016, 36–43
R. V. Namm, G. Woo, “Sensitivity functionals in convex optimization problem”, Filomat, 30:14 (2016), 3681–3687

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Sibirskii Zhurnal Vychislitel'noi Matematiki

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