Linearly implicit finite element methods for the time-dependent Joule heating problem

dc.contributor.authorAkrivis, G.en
dc.contributor.authorLarsson, S.en
dc.date.accessioned2015-11-24T17:00:54Z
dc.date.available2015-11-24T17:00:54Z
dc.identifier.issn0006-3835-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/10836
dc.rightsDefault Licence-
dc.subjecterror estimateen
dc.subjectfinite elementen
dc.subjectmultistepen
dc.subjectsemi-impliciten
dc.subjectmiscible displacementen
dc.subjectparabolic equationsen
dc.subjectapproximationen
dc.titleLinearly implicit finite element methods for the time-dependent Joule heating problemen
heal.abstractCompletely discrete numerical methods for a nonlinear elliptic-parabolic system, the time-dependent Joule heating problem, are introduced and analyzed. The equations are discretized in space by a standard finite element method, and in time by combinations of rational implicit and explicit multistep schemes. The schemes are linearly implicit in the sense that they require, at each time level, the solution of linear systems of equations. Optimal order error estimates are proved under the assumption of sufficiently regular solutions.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primaryDOI 10.1007/s10543-005-0008-1-
heal.journalNameBit Numerical Mathematicsen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2005-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Ηλεκτρονικών Υπολογιστών και Πληροφορικήςel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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