Autor(en): Dornisch, Wolfgang
Stöckler, Joachim
Titel: An isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence rates
Sprache (ISO): en
Zusammenfassung: We investigate the mortar finite element method for second order elliptic boundary value problems on domains which are decomposed into patches Ωk with tensor-product NURBS parameterizations. We follow the methodology of IsoGeometric Analysis (IGA) and choose discrete spaces Xh,k on each patch Ωk 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.
Schlagwörter: 65N30
65N55
41A15
URI: http://hdl.handle.net/2003/40861
http://dx.doi.org/10.17877/DE290R-22718
Erscheinungsdatum: 2021-11-13
Rechte (Link): https://creativecommons.org/licenses/by/4.0/
Enthalten in den Sammlungen:Lehrstuhl VIII Approximationstheorie

Dateien zu dieser Ressource:
Datei Beschreibung GrößeFormat 
Dornisch-Stöckler2021_Article_AnIsogeometricMortarMethodForT.pdf4.14 MBAdobe PDFÖffnen/Anzeigen


Diese Ressource ist urheberrechtlich geschützt.



Diese Ressource wurde unter folgender Copyright-Bestimmung veröffentlicht: Lizenz von Creative Commons Creative Commons