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 infsup-stability modified Lagrange multiplier space coupling of non-conforming meshes Mortar method optimal convergence |
Subject Headings (RSWK): | Isogeometrische Analyse Mortar-Element-Methode |
URI: | http://hdl.handle.net/2003/38257 http://dx.doi.org/10.17877/DE290R-20227 |
Issue Date: | 2019-09 |
Appears in Collections: | Ergebnisberichte des Instituts für Angewandte Mathematik |
Files in This Item:
File | Description | Size | Format | |
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Ergebnisbericht Nr. 613.pdf | DNB | 4.93 MB | Adobe PDF | View/Open |
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