Computational Method for Convection-Dominated Problem

Author

Cai, Xin

Author_Institution

Sch. of Sci., Zhejiang Univ. of Sci. & Technol., Hangzhou, China

Volume

2

fYear

2010

fDate

4-6 June 2010

Firstpage

273

Lastpage

276

Abstract

In this paper convection-dominated problem is considered. The problem will lead to large oscillation since the coefficient of diffusion term is small. Firstly, the analytical solution is decomposed into the smooth component and the singular component. Secondly, Runge-Kutta method is applied to solve the equation outside the boundary layer. Thirdly, Petrov-Galerkin finite element method with piecewise-exponential test function and the piecewise-linear trial function is constructed in order to solve the boundary layer. Finally, the error estimation is given.

Keywords

Runge-Kutta methods; boundary layers; convection; finite element analysis; Petrov-Galerkin finite element method; Runge-Kutta method; boundary layer; convection-dominated problem; diffusion coefficient; error estimation; piecewise-exponential test function; piecewise-linear trial function; Chemical reactors; Differential equations; Elasticity; Electrodes; Error analysis; Finite element methods; Mathematics; Piecewise linear techniques; Testing; Runge-Kutta method; asymptotic solution; convection-dominated; error estimation; nite element method;

fLanguage

English

Publisher

ieee

Conference_Titel

Information and Computing (ICIC), 2010 Third International Conference on

Conference_Location

Wuxi, Jiang Su

Print_ISBN

978-1-4244-7081-5

Electronic_ISBN

978-1-4244-7082-2

Type

conf

DOI

10.1109/ICIC.2010.164

Filename

5513853