Refining the submesh strategy in the two-level finite element method: Application to the advection-diffusion equation

Leopoldo P. Franca; Feng Nan Hwang

doi:10.1002/fld.219

Refining the submesh strategy in the two-level finite element method: Application to the advection-diffusion equation

Leopoldo P. Franca, Feng Nan Hwang

Department of Mathematics

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

19 Scopus citations

Abstract

We introduce a new submesh strategy for the two-level finite element method. The numerical results show that the new submesh is able to better capture the boundary layer which is caused by the choice of bubble functions. The effect of an improved approximation of the residual free bubbles is studied for the advective-diffusive equation.

Original language	English
Pages (from-to)	161-187
Number of pages	27
Journal	International Journal for Numerical Methods in Fluids
Volume	39
Issue number	2
DOIs	https://doi.org/10.1002/fld.219
State	Published - 20 May 2002

Keywords

Advection-diffusion
Finite element method
Submesh strategy

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10.1002/fld.219

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abstract = "We introduce a new submesh strategy for the two-level finite element method. The numerical results show that the new submesh is able to better capture the boundary layer which is caused by the choice of bubble functions. The effect of an improved approximation of the residual free bubbles is studied for the advective-diffusive equation.",

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T2 - Application to the advection-diffusion equation

AU - Franca, Leopoldo P.

AU - Hwang, Feng Nan

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Y1 - 2002/5/20

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AB - We introduce a new submesh strategy for the two-level finite element method. The numerical results show that the new submesh is able to better capture the boundary layer which is caused by the choice of bubble functions. The effect of an improved approximation of the residual free bubbles is studied for the advective-diffusive equation.

KW - Advection-diffusion

KW - Finite element method

KW - Submesh strategy

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M3 - 期刊論文

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JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 2

ER -

Refining the submesh strategy in the two-level finite element method: Application to the advection-diffusion equation

Abstract

Keywords

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