A time discretization scheme for a nonlocal degenerate problem modelling resistance spot welding

Hdl Handle:
http://hdl.handle.net/10034/550359
Title:
A time discretization scheme for a nonlocal degenerate problem modelling resistance spot welding
Authors:
Kavallaris, Nikos I.; Yan, Yubin
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.
Affiliation:
University of Chester
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
Publisher:
Cambridge University Press
Journal:
Mathematical Modelling of Natural Phenomena
Publication Date:
31-Jan-2015
URI:
http://hdl.handle.net/10034/550359
Additional Links:
http://www.mmnp-journal.org
Type:
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
ISSN:
0973-5348
EISSN:
17-
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorKavallaris, Nikos I.en
dc.contributor.authorYan, Yubinen
dc.date.accessioned2015-04-20T12:17:57Zen
dc.date.available2015-04-20T12:17:57Zen
dc.date.issued2015-01-31en
dc.identifier.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/201510608en
dc.identifier.issn0973-5348en
dc.identifier.urihttp://hdl.handle.net/10034/550359en
dc.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.htmlen
dc.description.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.en
dc.language.isoenen
dc.publisherCambridge University Pressen
dc.relation.urlhttp://www.mmnp-journal.orgen
dc.subjectNon-localen
dc.subjecterror estimatesen
dc.subjectdegenerate parabolic equationen
dc.subjectmoving boundaryen
dc.subjectstabilityen
dc.subjectChernoff formulaen
dc.subjectresistance spot weldingen
dc.titleA time discretization scheme for a nonlocal degenerate problem modelling resistance spot weldingen
dc.typeArticleen
dc.identifier.eissn17-en
dc.contributor.departmentUniversity of Chesteren
dc.identifier.journalMathematical Modelling of Natural Phenomenaen
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