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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2017, Volume 20, Number 1, Pages 47–58
DOI: https://doi.org/10.15372/SJNM20170105 (Mi sjvm635) 		 
This article is cited in 10 scientific papers (total in 10 papers)

A modified dual scheme for solving an elastic crack problem

R. V. Namm, G. I. Tsoy

Computer Centre of Far Eastern Branch RAS, Kim Yu Chena str., 65, Habarovsk, 680063, Russia
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DOI: https://doi.org/10.15372/SJNM20170105
Abstract: The dual scheme for solving a crack problem in terms of displacements is considered. The dual solution method is based on a modified Lagrangian functional. In addition, the method convergence is investigated under natural assumptions on $H^1$-regularity of the crack problem solution. The duality relation for the primal and dual problems has been proposed.
Key words: elastic crack problem, duality scheme, modified Lagrangian functional, sensitivity functional, duality relation, weak lower semicontinuity.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 15-I-4-075
Received: 31.05.2016
Revised: 07.07.2016
English version:
Numerical Analysis and Applications, 2017, Volume 10, Issue 1, Pages 37–46
DOI: https://doi.org/10.1134/S1995423917010050
Bibliographic databases:
Document Type: Article
UDC: 519.853.2+519.632
Language: Russian
Citation: R. V. Namm, G. I. Tsoy, “A modified dual scheme for solving an elastic crack problem”, Sib. Zh. Vychisl. Mat., 20:1 (2017), 47–58; Num. Anal. Appl., 10:1 (2017), 37–46
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
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