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  4. Tree-cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains
 
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research article

Tree-cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains

Kapidani, Bernard  
•
Merkel, Melina
•
Schoeps, Sebastian
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May 15, 2022
Computer Methods In Applied Mechanics And Engineering

When applying isogeometric analysis to engineering problems, one often deals with multi-patch spline spaces that have incompatible discretisations, e.g. in the case of moving objects. In such cases mortaring has been shown to be advantageous. This contribution discusses the appropriate B-spline spaces needed for the solution of Maxwell's equations in the functions space H(curl) and the corresponding mortar spaces. The main contribution of this paper is to show that in formulations requiring gauging, as in the vector potential formulation of magnetostatic equations, one can remove the discrete kernel subspace from the mortared spaces by the graph-theoretical concept of a tree-cotree decomposition. The tree-cotree decomposition is done based on the control mesh, it works for non-contractible domains, and it can be straightforwardly applied independently of the degree of the B-spline bases. Finally, the simulation workflow is demonstrated using a realistic model of a rotating permanent (c) 2022 Elsevier B.V. All rights reserved.

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Type
research article
DOI
10.1016/j.cma.2022.114949
Web of Science ID

WOS:000797998700005

Author(s)
Kapidani, Bernard  
•
Merkel, Melina
•
Schoeps, Sebastian
•
Vazquez, Rafael  
Date Issued

2022-05-15

Published in
Computer Methods In Applied Mechanics And Engineering
Volume

395

Article Number

114949

Subjects

Engineering, Multidisciplinary

•

Mathematics, Interdisciplinary Applications

•

Mechanics

•

Engineering

•

Mathematics

•

tree-cotree gauging

•

mortaring

•

isogeometric analysis

•

electric machines

URL

ArXiv preprint

https://arxiv.org/abs/2202.05771
Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
MNS  
Available on Infoscience
June 20, 2022
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/188601
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