Computational Method for Convection-Dominated Problem

摘要：

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.

关键词： finite element method Runge-Kutta method asymptotic solution error estimation convection-dominated

作者: Xin Cai

作者单位: School of Science Zhejiang University of Science and Technology Hangzhou, 310023,China

会议类型: 国际会议

会议名称: Third International Conference on Information and Computing(第三届信息与计算科学国际会议 ICIC 2010)

会议地点: 无锡

会议语种:英文

页码: 273-276

在线出版日期: 2010-06-04（万方平台首次上网日期，不代表论文的发表时间）