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  4. Spectral based Discontinuous Galerkin Reduced Basis Element method for parametrized Stokes problems
 
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conference paper

Spectral based Discontinuous Galerkin Reduced Basis Element method for parametrized Stokes problems

Pacciarini, Paolo  
•
Gervasio, Paola
•
Quarteroni, Alfio  
2016
Computers & Mathematics With Applications
18th International Conference on Finite Elements in Flow Problems (FEF)

In this work we extend to the Stokes problem the Discontinuous Galerkin Reduced Basis Element (DGRBE) method introduced in Antonietti et al. (2015). By this method we aim at reducing the computational cost for the approximation of a parametrized Stokes problem on a domain partitioned into subdomains. During an offline stage, expensive but performed only once, a low-dimensional approximation space is built on each subdomain. For any new value of the parameter, the rapid evaluation of the solution takes place during the online stage and consists in a Galerkin projection onto the low-dimensional subspaces computed offline. The high-fidelity discretization on each subdomain, used to build the local low dimensional subspaces, is based on spectral element methods. The continuity of both the velocity and the normal component of the Cauchy stress tensor at subdomain interfaces is weakly enforced by a discontinuous Galerkin approach. (C) 2016 Elsevier Ltd. All rights reserved.

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Type
conference paper
DOI
10.1016/j.camwa.2016.01.030
Web of Science ID

WOS:000387626800004

Author(s)
Pacciarini, Paolo  
•
Gervasio, Paola
•
Quarteroni, Alfio  
Date Issued

2016

Publisher

Pergamon-Elsevier Science Ltd

Publisher place

Oxford

Journal
Computers & Mathematics With Applications
Total of pages

11

Volume

72

Issue

8

Start page

1977

End page

1987

Subjects

Reduced Basis Element method

•

Discontinuous Galerkin

•

Domain decomposition

•

Spectral element methods

•

Parametrized PDE

•

Stokes equations

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CMCS  
Event nameEvent placeEvent date
18th International Conference on Finite Elements in Flow Problems (FEF)

Taipei, TAIWAN

MAR 16-18, 2015

Available on Infoscience
January 24, 2017
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/133787
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