Authors: Dornisch, Wolfgang
Stöckler, Joachim
Title: An isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence rates
Language (ISO): en
Abstract: We 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.
Subject Headings: isogeometric analysis
modified Lagrange multiplier space
coupling of non-conforming meshes
Mortar method
optimal convergence
Subject Headings (RSWK): Isogeometrische Analyse
Issue Date: 2019-09
Appears in Collections:Ergebnisberichte des Instituts für Angewandte Mathematik

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