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A time discretization scheme for a nonlocal degenerate problem modelling resistance spot welding
Kavallaris, Nikos I. Yan, Yubin
Kavallaris, Nikos I.
Yan, Yubin
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2015-10-02
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Abstract
In 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.
Citation
Kavallaris, N. I., & Yan, Y. (2015). A Time discretization scheme for a nonlocal degenerate problem modelling resistance spot welding. Matematical Modelling of Natural Phenomena. 10(6), 90-112. DOI:
http://dx.doi.org/10.1051/mmnp/201510608
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Cambridge University Press
Journal
Mathematical Modelling of Natural Phenomena
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Article
Language
en
Description
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.html
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ISSN
0973-5348
EISSN
17-