• 论文 •

### 奇异摄动问题 FEM/LDG 耦合方法的最优阶一致收敛性分析

1. 嘉兴学院数理与信息工程学院, 浙江嘉兴 314001
• 收稿日期:2013-09-25 出版日期:2014-09-15 发布日期:2014-09-30
• 基金资助:

浙江省自然科学基金项目（LQ12A01014）和浙江省教育厅科研项目（Y201330020）资助.

Xie Shenglan, Zhu Peng. UNIFORMLY CONVERGENT HIGHER ORDER FEM/LDG COUPLED METHOD FOR SOLVING SINGULARLY PERTURBED PROBLEM ON BAKHVALOV-SHISHKIN MESH[J]. Journal of Numerical Methods and Computer Applications, 2014, 35(3): 189-205.

### UNIFORMLY CONVERGENT HIGHER ORDER FEM/LDG COUPLED METHOD FOR SOLVING SINGULARLY PERTURBED PROBLEM ON BAKHVALOV-SHISHKIN MESH

Xie Shenglan, Zhu Peng

1. School of Math-Physics and Information Engineering, Jiaxing University, Jiaxing 314001, Zhejiang, China
• Received:2013-09-25 Online:2014-09-15 Published:2014-09-30

In this paper, we propose and analyze a higher order FEM/LDG coupled method for solving singularly perturbed convection-diffusion problem. Based on piecewise polynomial approximations of degree k(k≥1), a uniform convergence rate O(N-k) in associated norm is established on Bakhvalov-Shishkin mesh, where $N$ is the number of elements. Numerical experiments complement the theoretical results.

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