Multiscale and residual-free bubble functions for reaction-advection-diffusion problems

被引：24

作者：

Franca, LP

Ramalho, JVA

Valentin, F

机构：

[1] Univ Colorado, Denver, CO 80217 USA

[2] LNCC, BR-25651070 Petropolis, RJ, Brazil

来源：

INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING | 2005年 / 3卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1615/IntJMultCompEng.v3.i3.40

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：297 / 312

页数：16

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