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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
Full-text PDF (1486 kB) Citations (10)
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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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