Title :
Computational Method for Convection-Dominated Problem
Author_Institution :
Sch. of Sci., Zhejiang Univ. of Sci. & Technol., Hangzhou, China
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;
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
DOI :
10.1109/ICIC.2010.164
