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research
A time discretization scheme for a nonlocal degenerate problem modelling resistance spot welding
Authors
Antontsev
Bebernes
+24 more
Berger
F. Davidson
Hömberg
Kavallaris
Kavallaris
Kavallaris
Kavallaris
Lacey
Latos
Latos
M. Alfaro
N. Apreutesei
N. I. Kavallaris
Nochetto
Nochetto
Sidi Ammi
Steinbach
Tzanetis
Tzanetis
Tzanetis
V. Volpert
Verdi
Wolansky
Y. Yan
Publication date
1 January 2015
Publisher
'EDP Sciences'
Doi
Cite
Abstract
This is the author's PDF version of an article published in Mathematical Modelling of Natural Phenomena© 2015. The definitive version is available at http://www.mmnp-journal.org/articles/mmnp/abs/2015/06/mmnp2015106p90/mmnp2015106p90.htmlIn the current work we construct a nonlocal mathematical model describing the phase transition occurs during the resistance spot welding process in the industry of metallurgy. We then consider a time discretization scheme for solving the resulting nonlocal moving boundary problem. The scheme consists of solving at each time step a linear elliptic partial differential equation and then making a correction to account for the nonlinearity. The stability and error estimates of the developed scheme are investigated. Finally some numerical results are presented confirming the efficiency of the developed numerical algorithm
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info:doi/10.1051%2Fmmnp%2F2015...
Last time updated on 24/03/2019
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