A time discretization scheme for a nonlocal degenerate problem modelling resistance spot welding
AffiliationUniversity of Chester
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AbstractIn 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.
CitationKavallaris, 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
PublisherCambridge University Press
DescriptionThis 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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