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research article

Idempotent filtering in spectral and spectral element methods

Kanevsky, Alex
•
Carpenter, Mark H.
•
Hesthaven, Jan S.  
2006
Journal of Computational Physics

The comparison of numerical results for implicit-explicit and fully explicit Runge-Kutta time integration methods for a nozzle flow problem shows that filtering can significantly degrade the accuracy of the numerical solution for long-time integration problems. We demonstrate analytically and numerically that filtering-in-time errors become additive for parallel to u(N)(x, t + k Delta t) - u(N)(x, t)parallel to << parallel to u(N)(x, t)parallel to when nonidempotent filters are used, and suggest the development and implementation of idempotent filters. (c) 2006 Elsevier Inc. All rights reserved.

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Type
research article
DOI
10.1016/j.jcp.2006.05.014
Web of Science ID

WOS:000243079600004

Author(s)
Kanevsky, Alex
•
Carpenter, Mark H.
•
Hesthaven, Jan S.  
Date Issued

2006

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE

Published in
Journal of Computational Physics
Volume

220

Issue

1

Start page

41

End page

58

Subjects

idempotent

•

modal filters

•

spectral methods

•

implicit-explicit (IMEX) Runge-Kutta

Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
MCSS  
Available on Infoscience
November 12, 2013
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/96935
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