A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations

B. Achchab; M. El Fatini; A. Ern; A. Souissi

doi:10.1016/j.aml.2008.12.006

A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations

B. Achchab
, M. El Fatini
, A. Ern
, A. Souissi

Université Hassan 1er
Université Hassan II
Faculté des Sciences Rabat
Ecole Mohammadia d'Ingénieurs

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

Abstract

We derive a posteriori error estimates for subgrid viscosity stabilized finite element approximations of convection-diffusion equations in the high Péclet number regime. Two estimators are analyzed: an asymptotically robust one and a fully robust one with respect to the Péclet number. Numerical results on test cases with boundary layers or internal layers show that the asymptotically robust estimator can be used to construct adaptive meshes.

Original language	English
Pages (from-to)	1418-1424
Number of pages	7
Journal	Applied Mathematics Letters
Volume	22
Issue number	9
DOIs	https://doi.org/10.1016/j.aml.2008.12.006
Publication status	Published - 1 Jan 2009

Keywords

A posteriori error estimates
Advection-diffusion
Finite elements
High Péclet number regime
Subgrid viscosity

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10.1016/j.aml.2008.12.006

Cite this

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title = "A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations",

abstract = "We derive a posteriori error estimates for subgrid viscosity stabilized finite element approximations of convection-diffusion equations in the high P{\'e}clet number regime. Two estimators are analyzed: an asymptotically robust one and a fully robust one with respect to the P{\'e}clet number. Numerical results on test cases with boundary layers or internal layers show that the asymptotically robust estimator can be used to construct adaptive meshes.",

keywords = "A posteriori error estimates, Advection-diffusion, Finite elements, High P{\'e}clet number regime, Subgrid viscosity",

author = "B. Achchab and \{El Fatini\}, M. and A. Ern and A. Souissi",

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AU - Achchab, B.

AU - El Fatini, M.

AU - Ern, A.

AU - Souissi, A.

PY - 2009/1/1

Y1 - 2009/1/1

N2 - We derive a posteriori error estimates for subgrid viscosity stabilized finite element approximations of convection-diffusion equations in the high Péclet number regime. Two estimators are analyzed: an asymptotically robust one and a fully robust one with respect to the Péclet number. Numerical results on test cases with boundary layers or internal layers show that the asymptotically robust estimator can be used to construct adaptive meshes.

AB - We derive a posteriori error estimates for subgrid viscosity stabilized finite element approximations of convection-diffusion equations in the high Péclet number regime. Two estimators are analyzed: an asymptotically robust one and a fully robust one with respect to the Péclet number. Numerical results on test cases with boundary layers or internal layers show that the asymptotically robust estimator can be used to construct adaptive meshes.

KW - A posteriori error estimates

KW - Advection-diffusion

KW - Finite elements

KW - High Péclet number regime

KW - Subgrid viscosity

UR - https://www.scopus.com/pages/publications/67349278063

U2 - 10.1016/j.aml.2008.12.006

DO - 10.1016/j.aml.2008.12.006

M3 - Article

AN - SCOPUS:67349278063

SN - 0893-9659

VL - 22

SP - 1418

EP - 1424

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 9

ER -

A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations

Abstract

Keywords

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