A Robust Adaptive Grid Method for a System of Two Singularly Perturbed Convection-Diffusion Equations with Weak Coupling

被引：1

作者：

Li-Bin Liu

Yanping Chen

机构：

[1] South China Normal University,School of Mathematical Sciences

[2] Chizhou College,Department of Mathematics and Computer Science

来源：

Journal of Scientific Computing | 2014年 / 61卷

关键词：

Convection-diffusion; Adaptive method; A posteriori error estimate; Weak coupling; 65L10; 65L12; 65L50;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A system of singularly perturbed convection-diffusion equations with weak coupling is considered. The system is first discretized by an upwind finite difference scheme for which an a posteriori error estimate in the maximum norm is constructed. Then the a posteriori error bound is used to design an adaptive gird algorithm. Finally, a first-order rate of convergence, independent of the perturbation parameters, is established by using the theory of the discrete Green’s function. Numerical results are presented to illustrate support our theoretical results.

引用

页码：1 / 16

页数：15

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