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research article

Analysis-aware defeaturing: Problem setting and a posteriori estimation

Buffa, Annalisa  
•
Chanon, Ondine  
•
Vazquez Hernandez, Rafael  
January 31, 2022
Mathematical Models and Methods in Applied Sciences

Defeaturing consists in simplifying geometrical models by removing the geometrical features that are considered not relevant for a given simulation. Feature removal and simplification of computer-aided design models enables faster simulations for engineering analysis problems, and simplifies the meshing problem that is otherwise often unfeasible. The effects of defeaturing on the analysis are then neglected and as of today, there are basically very few strategies to quantitatively evaluate such an impact. Understanding well the effects of this process is an important step for automatic integration of design and analysis. We formalize the process of defeaturing by understanding its effect on the solution of Poisson equation defined on the geometrical model of interest containing a single feature, with Neumann boundary conditions on the feature itself. We derive an a posteriori estimator of the energy error between the solutions of the exact and the defeatured geometries in $\mathbb{R}^n$, $n\in{2, 3}$, that is simple, reliable and efficient up to oscillations. The dependence of the estimator upon the size of the features is explicit.

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Type
research article
DOI
10.1142/S0218202522500099
ArXiv ID

2007.11525v4

Author(s)
Buffa, Annalisa  
Chanon, Ondine  
Vazquez Hernandez, Rafael  
Date Issued

2022-01-31

Published in
Mathematical Models and Methods in Applied Sciences
Volume

32

Issue

2

Start page

359

End page

402

Subjects

Geometric defeaturing

•

A posteriori error estimation

•

Isogeometric analysis

Editorial or Peer reviewed

NON-REVIEWED

Written at

EPFL

EPFL units
MNS  
RelationURL/DOI

IsNewVersionOf

https://infoscience.epfl.ch/record/285136
Available on Infoscience
February 9, 2022
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/185227
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