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

  • We investigate the mortar finite element method for second order elliptic boundary value problems on domains which are decomposed into patchesk 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 Brivadis et al. (Comput Methods Appl Mech Eng 284:292–319, 2015) 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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Metadaten
Author: Wolfgang DornischORCiD, Joachim Stöckler
DOI:https://doi.org/10.1007/s00211-021-01246-z
ISSN:0945-3245
ISSN:0029-599X
Title of the source (German):Numerische Mathematik
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2021
Tag:Approximate duals; Isogeometric analysis; Mortar Method; domain coupling
Volume/Year:149
Issue number:4
First Page:871
Last Page:931
Faculty/Chair:Fakultät 6 Architektur, Bauingenieurwesen und Stadtplanung / FG Statik und Dynamik
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