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research article
Multipatch approximation of the de Rham sequence and its traces in isogeometric analysis
We define a conforming B-spline discretisation of the de Rham complex on multipatch geometries. We introduce and analyse the properties of interpolation operators onto these spaces which commute w.r.t. the surface differential operators. Using these results as a basis, we derive new convergence results of optimal order w.r.t. the respective energy spaces and provide approximation properties of the spline discretisations of trace spaces for application in the theory of isogeometric boundary element methods. Our analysis allows for a straightforward generalisation to finite element methods.
Use this identifier to reference this record
Type
research article
ArXiv ID
1806.01062v2
Authors
•
Dölz, Jürgen
•
Kurz, Stefan
•
Schöps, Sebastian
•
Vázquez, Rafael
•
Wolf, Felix
Publication date
2020
Published in
Volume
144
Start page
201
End page
236
Peer reviewed
REVIEWED
EPFL units
Funder | Grant Number |
H2020 | 694515 |
Available on Infoscience
November 12, 2019