An isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence rates

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dc.contributor.authorDornisch, Wolfgang
dc.contributor.authorStöckler, Joachim
dc.date.accessioned2019-10-02T13:53:25Z
dc.date.available2019-10-02T13:53:25Z
dc.date.issued2019-09
dc.description.abstractWe investigate the mortar finite element method for second order elliptic boundary value problems on domains which are decomposed into patches Ω_k with tensor-product NURBS parameterizations. We follow the methodology of IsoGeometric Analysis (IGA) and choose discrete spaces X_h,k on each patch Ω_k as tensor-product NURBS spaces of the same or higher degree as given by the parameterization. Our work is an extension of [12] and highlights several aspects which did not receive full attention before. In particular, by choosing appropriate spaces of polynomial splines as Lagrange multipliers, we obtain a uniform infsup-inequality. Moreover, we provide a new additional condition on the discrete spaces X_h,k which is required for obtaining optimal convergence rates of the mortar method. Our numerical examples demonstrate that the optimal rate is lost if this condition is neglected.en
dc.identifier.issn2190-1767
dc.identifier.urihttp://hdl.handle.net/2003/38257
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-20227
dc.language.isoen
dc.relation.ispartofseriesErgebnisberichte des Instituts für Angewandte Mathematik;613
dc.subjectisogeometric analysisen
dc.subjectinfsup-stabilityen
dc.subjectmodified Lagrange multiplier spaceen
dc.subjectcoupling of non-conforming meshesen
dc.subjectMortar methoden
dc.subjectoptimal convergenceen
dc.subject.ddc610
dc.subject.rswkIsogeometrische Analysede
dc.subject.rswkMortar-Element-Methodede
dc.titleAn isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence ratesen
dc.typeText
dc.type.publicationtypepreprint
dcterms.accessRightsopen access
eldorado.secondarypublicationfalse

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