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research article

Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps

Discacciati, Niccolo'  
•
Hesthaven, Jan S  
January 18, 2024
Computer Methods In Applied Mechanics And Engineering

We propose a local, non -intrusive model order reduction technique to accurately approximate the solution of coupled multi -component parametrized systems governed by partial differential equations. Our approach is based on the approximation of the boundary response maps arising from a non -overlapping domain decomposition method. To construct the surrogate, we combine dimensionality reduction techniques with interpolation or regression approaches, such as kernel interpolation methods and artificial neural networks. Two alternative training strategies, making use of the full coupled problem or an artificial parametrization of the boundary conditions, are proposed and discussed. We show the potential of our approach in a series of test cases, ranging from linear diffusion -like models to nonlinear multi -physics problems. High levels of accuracy and computational efficiency are achieved in all cases.

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Type
research article
DOI
10.1016/j.cma.2024.116770
Web of Science ID

WOS:001167871400001

Author(s)
Discacciati, Niccolo'  
•
Hesthaven, Jan S  
Date Issued

2024-01-18

Publisher

Elsevier Science Sa

Published in
Computer Methods In Applied Mechanics And Engineering
Volume

420

Article Number

116770

Subjects

Technology

•

Physical Sciences

•

Non-Intrusive Model Reduction

•

Domain Decomposition Methods

•

Boundary Response Maps

•

Kernel Interpolation Methods

•

Coupled Systems

•

Multi-Physics Problems

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
MCSS  
Available on Infoscience
March 18, 2024
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/206496
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