Filter-based stabilization of spectral element methods

Paul Fischer; Julia Mullen

doi:10.1016/S0764-4442(00)01763-8

Filter-based stabilization of spectral element methods

Paul Fischer
, Julia Mullen

Research output: Contribution to journal › Article › peer-review

Abstract

We present a simple filtering procedure for stabilizing the spectral element method (SEM) for the unsteady advection-diffusion and Navier-Stokes equations. A number of example applications are presented, along with basic analysis for the advection-diffusion case.

Original language	English (US)
Pages (from-to)	265-270
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	332
Issue number	3
DOIs	https://doi.org/10.1016/S0764-4442(00)01763-8
State	Published - Feb 1 2001
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1016/S0764-4442(00)01763-8

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title = "Filter-based stabilization of spectral element methods",

abstract = "We present a simple filtering procedure for stabilizing the spectral element method (SEM) for the unsteady advection-diffusion and Navier-Stokes equations. A number of example applications are presented, along with basic analysis for the advection-diffusion case.",

author = "Paul Fischer and Julia Mullen",

note = "Acknowledgments. This work was supported by the Mathematical, Information, and Computational Sciences Division subprogram of the Office of Advanced Scientific Computing Research, U.S. Department of Energy, under Contract W-31-109-Eng-38.",

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AU - Mullen, Julia

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Filter-based stabilization of spectral element methods

Abstract

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