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Titel
An isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence rates / W. Dornisch, J. Stöckler
VerfasserDornisch, Wolfgang ; Stöckler, Joachim
ErschienenDortmund : Technische Universität Dortmund, Fakultät für Mathematik, September 2019
Ausgabe
Elektronische Ressource
Umfang1 Online-Ressource (59 Seiten) : Illustrationen
SerieErgebnisberichte angewandte Mathematik ; no. 613
SchlagwörterIsogeometrische Analyse / Mortar-Element-Methode
URNurn:nbn:de:hbz:6:2-121395 
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An isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence rates [4.81 mb]
Zusammenfassung

We investigate the mortar finite element method for second order elliptic boundary value problems on domains which are decomposed into patches k with tensor-product NURBS parameterizations. We follow the methodology of IsoGeometric Analysis (IGA) and choose discrete spaces Xh;k on each patch 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 Xh;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.

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