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International Journal for Multiscale Computational Engineering

ISSN for PRINT: 1543-1649

Institutional price:	$747.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2005, Volume3

141 pages

Issue price - $178.00

Multiscale and Residual-Free Bubble Functions for Reaction-Advection-Diffusion Problems

Leo Franca
University of Colorado at Denver

J. V. A. Ramalho
Laboratorio Nacional de Computacao Cientifica - LNCC, Av. Getulio Vargas 333, Quitandinha, Petropolis, RJ, 25651-070, Brazil

F. Valentin
Laboratorio Nacional de Computacao Cientifica - LNCC, Av. Getulio Vargas 333, Quitandinha, Petropolis, RJ, 25651-070, Brazil

ABSTRACT

We propose a finite element method based on enriching the Galerkin approximation spaces with a combination of multiscale functions and residual-free bubbles (RFB). This approach is presented as a Petrov-Galerkin method and applied to the singularly perturbed reaction-advection-diffusion model. Numerical tests confirm that switching RFB by suitable multiscale functions in the elements connected to the outflow boundaries of the domain improves the accuracy of the solution in this region.