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奇异摄动反应扩散方程的后验误差估计及自适应算法

包小兵 刘利斌 毛志

包小兵, 刘利斌, 毛志. 奇异摄动反应扩散方程的后验误差估计及自适应算法[J]. 应用数学和力学, 2021, 42(3): 323-330. doi: 10.21656/1000-0887.410103
引用本文: 包小兵, 刘利斌, 毛志. 奇异摄动反应扩散方程的后验误差估计及自适应算法[J]. 应用数学和力学, 2021, 42(3): 323-330. doi: 10.21656/1000-0887.410103
BAO Xiaobing, LIU Libin, MAO Zhi. A Posteriori Error Estimation and Adaptive Algorithm for Singularly Perturbed Reaction-Diffusion Equations[J]. Applied Mathematics and Mechanics, 2021, 42(3): 323-330. doi: 10.21656/1000-0887.410103
Citation: BAO Xiaobing, LIU Libin, MAO Zhi. A Posteriori Error Estimation and Adaptive Algorithm for Singularly Perturbed Reaction-Diffusion Equations[J]. Applied Mathematics and Mechanics, 2021, 42(3): 323-330. doi: 10.21656/1000-0887.410103

奇异摄动反应扩散方程的后验误差估计及自适应算法

doi: 10.21656/1000-0887.410103
基金项目: 国家自然科学基金(11761015);广西自然科学基金(2017GXNSFBA198183);广西自然科学基金(重点项目)(2017GXNSFDA198014;2018GXNSFDA050014);贵州省教育厅创新群体重大研究项目(KY[2016]051);中国博士后科学基金(面上项目)(2017M623074);2018年贵州省科技基金(一般项目)([2018]1162)
详细信息
    作者简介:

    包小兵(1981—),男,讲师,硕士(E-mail:czubxb@163.com);毛志(1982—),男,副教授,博士(通讯作者. E-mail: yjsymz@gztrc.edu.cn).

  • 中图分类号: O241.81

A Posteriori Error Estimation and Adaptive Algorithm for Singularly Perturbed Reaction-Diffusion Equations

Funds: The National Natural Science Foundation of China(11761015)
  • 摘要: 研究了一类奇异摄动半线性反应扩散方程的自适应网格方法.在任意非均匀网格上建立迎风有限差分离散格式,并推导出离散格式的后验误差界,然后用该误差界设计自适应网格移动算法.数值实验结果证明了所提出的自适应网格方法的有效性.
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出版历程
  • 收稿日期:  2020-04-09
  • 修回日期:  2020-12-29
  • 刊出日期:  2021-03-01

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