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一类奇异摄动对流扩散方程组的自适应移动网格方法 被引量:4

An Adaptive Moving Grid Method for the Singularly Perturbed Convection-Diffusion Problem
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摘要 针对一类奇异摄动对流扩散方程组问题,利用有限差分方法,提出了求解这类问题的自适应移动网格方法,并给出了移动网格的迭代算法和一阶后验误差估计.数值实验验证了所得的理论估计. A singularly of two singularly perturbed convection-diffusion problem is considered. Based on finite difference scheme, an adaptive moving grid approach to solve this problem is presented, and an iteration algorithm to generated meshes and a first-order a posteriori error estimate are given. Numerical results are presented that sup- port our theoretical estimates.
出处 《华南师范大学学报(自然科学版)》 CAS 北大核心 2013年第6期1-5,共5页 Journal of South China Normal University(Natural Science Edition)
基金 国家自然科学基金项目(11271145 11301044) 国家教育部高等学校博士学科点专项科研基金课题(20114407110009) 广东省高高层次人才项目 广东省高等院校学科建设专项资金(第一批)科技创新项目(2012KJCX0036) 华南师范大学研究生创新基金(2012kyjj118)
关键词 对流扩散方程组 移动网格 奇异摄动 a system of convection diffusion moving grid singularly perturbed
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