A variational multiscale method based on bubble functions for convection-dominated convection-diffusion equation

Lina Song; Yanren Hou; Haibiao Zheng

doi:10.1016/j.amc.2010.07.023

A variational multiscale method based on bubble functions for convection-dominated convection-diffusion equation

Lina Song^*
, Yanren Hou
, Haibiao Zheng

^*Corresponding author for this work

Xi'an Jiaotong University

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

15 Scopus citations

Abstract

This work presents a variational multiscale method based on polynomial bubble functions as subgrid scale and a numerical implementation based on two local Gauss integrations. This method can be implemented easily and efficiently for the convection-dominated problem. Static condensation of the bubbles suggests the stability of the method and we establish its global convergence. Representative numerical tests are presented.

Original language	English
Pages (from-to)	2226-2237
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	217
Issue number	5
DOIs	https://doi.org/10.1016/j.amc.2010.07.023
State	Published - 1 Nov 2010
Externally published	Yes

Keywords

Bubble functions
Convection-diffusion equation
Two local Gauss integrations
Variational multiscale method

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10.1016/j.amc.2010.07.023

Cite this

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abstract = "This work presents a variational multiscale method based on polynomial bubble functions as subgrid scale and a numerical implementation based on two local Gauss integrations. This method can be implemented easily and efficiently for the convection-dominated problem. Static condensation of the bubbles suggests the stability of the method and we establish its global convergence. Representative numerical tests are presented.",

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AU - Hou, Yanren

AU - Zheng, Haibiao

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Y1 - 2010/11/1

N2 - This work presents a variational multiscale method based on polynomial bubble functions as subgrid scale and a numerical implementation based on two local Gauss integrations. This method can be implemented easily and efficiently for the convection-dominated problem. Static condensation of the bubbles suggests the stability of the method and we establish its global convergence. Representative numerical tests are presented.

AB - This work presents a variational multiscale method based on polynomial bubble functions as subgrid scale and a numerical implementation based on two local Gauss integrations. This method can be implemented easily and efficiently for the convection-dominated problem. Static condensation of the bubbles suggests the stability of the method and we establish its global convergence. Representative numerical tests are presented.

KW - Bubble functions

KW - Convection-diffusion equation

KW - Two local Gauss integrations

KW - Variational multiscale method

UR - https://www.scopus.com/pages/publications/77957300607

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DO - 10.1016/j.amc.2010.07.023

M3 - 文章

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VL - 217

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EP - 2237

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

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ER -

A variational multiscale method based on bubble functions for convection-dominated convection-diffusion equation

Abstract

Keywords

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