应用数学2018，Vol.31Issue(3)：653-660,8.
一类强耦合的奇异摄动对流扩散方程组的移动网格方法
A Moving Grid Algorithm for a Strongly Coupled System of Singularly Perturbed Convection-Diffusion Problems
摘要
Abstract
In this paper, a system of strongly coupled singularly perturbed convection-diffusion problems is considered. Firstly, an upwind finite difference scheme is applied to discrete this system. Then,an a posteriori error estimate in the maximum norm is obtained which is used to design an adaptive grid generation algorithm. Finally,a first-order rate of convergence, independent of the perturbation parameters, is proved. Numerical results are given to confirm the uniform convergence rate of the nodal errors.关键词
一致收敛/奇异摄动/强耦合/迎风有限差分格式Key words
Uniform convergence/Singularly perturbed/Strongly coupled/Upwind finite difference scheme分类
数理科学引用本文复制引用
毛志,刘利斌..一类强耦合的奇异摄动对流扩散方程组的移动网格方法[J].应用数学,2018,31(3):653-660,8.基金项目
Supported by the National Natural Science Foundation of China(11761015),the Natural Science Foundation of Guangxi(2017GXNSFBA198183),the Key Project of Guangxi Natural Science Foundation(2017GXNSFDA198014),the Guizhou Provincial Cooperation Project in Science and Technology(Project No.LH[2015]7247)and the Dr.Scientific Research Starting Foundation of Ton-gren University(Grant No.trxyDH1526) （11761015）
