拟线性椭圆问题多水平有限元方法的后验误差估计

郭利明; 张庆敏

doi:10.3969/j.issn.1003-0972.2017.04.004

拟线性椭圆问题多水平有限元方法的后验误差估计

郭利明¹,
张庆敏²

1. 信阳师范学院数学与统计学院, 河南信阳 464000;
2. 信阳师范学院旅游学院, 河南信阳 464000

基金项目:

信阳师范学院2015年度重大预研项目(15155)

国家自然科学基金项目(11601466)

信阳师范学院博士科研启动基金(15021)

信阳师范学院2016年度青年基金项目(16019)

信阳师范学院"南湖学者奖励计划"青年项目

详细信息

作者简介:
郭利明(1988-),女,河南偃师人,讲师,博士,主要从事偏微分方程数值解方向研究.

中图分类号: O241.82
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出版历程
- 收稿日期: 2016-10-23
- 修回日期: 2017-04-22
- 发布日期: 2017-10-09

A Posteriori Error Estimates of Multi-Level Finite Element Methods for Second Order Quasi-Linear Elliptic Problems

GUO Liming¹,
ZHANG Qingmin²

1. College of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China;
2. College of Tourism, Xinyang Normal University, Xinyang 464000, China

摘要

摘要: 考虑二阶拟线性椭圆问题的多水平有限元方法.利用有限元方法精确解和多水平算法解之间的超逼近性质,得到了该问题多水平有限元方法的后验误差估计子.数值算例验证了该理论的正确性.
- 多水平方法 /
- 后验误差估计 /
- 拟线性
Abstract: Multi-level finite element methods were considered for quasi-linear elliptic problems. By the superconvergence property between the exact solution of finite element method and the solution of the multi-level algorithm, the posteriori error estimators for this problems were obtained. Numerical experiments confirmed the theoretical analysis.
- multilevel methods /
- posteriori error estimates /
- quasi-linear

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参考文献(14)

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