| 中立型延迟抛物方程的有限元分析 |
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| 引用本文： | 甘小艇,殷俊锋,周爱国,李万莉. 中立型延迟抛物方程的有限元分析[J]. 同济大学学报(自然科学版), 2017, 45(1): 127-134 |
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| 作者姓名： | 甘小艇 殷俊锋 周爱国 李万莉 |
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| 作者单位： | 同济大学 数学科学学院, 上海 200092；楚雄师范学院 数学与统计学院， 云南 楚雄 675000,同济大学 数学科学学院, 上海 200092,同济大学 机械与能源工程学院， 上海 200092,同济大学 机械与能源工程学院， 上海 200092 |
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| 基金项目： | 国家自然科学基金项目（11271289）;中央高校基本科研业务费专项资金,云南省青年项目(2013FD045). |
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| 摘 要： | 考虑一类中立型延迟抛物方程的有限元分析.基于线性有限元空间,构造中立型延迟抛物方程的半离散和两个全离散有限元格式.借助投影算子作为分析工具,证明了半离散和全离散有限元格式解的L~2范数误差估计.通过数值实验验证了理论分析结果.
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| 关 键 词： | 中立型延迟抛物方程 有限元格式 误差估计 |
| 收稿时间： | 2016-05-07 |
| 修稿时间： | 2016-10-21 |
Finite Element Analysis of Neutral Delay Parabolic Equation |
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| GAN Xiaoting,YIN Junfeng,ZHOU Aiguo and LI Wanli. Finite Element Analysis of Neutral Delay Parabolic Equation[J]. Journal of Tongji University(Natural Science), 2017, 45(1): 127-134 |
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| Authors: | GAN Xiaoting YIN Junfeng ZHOU Aiguo LI Wanli |
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| Affiliation: | School of Mathematical Science, Tongji University, Shanghai 200092, China; School of Mathematics and Statistics, Chuxiong Normal University, Chuxiong 675000, China,School of Mathematical Science, Tongji University, Shanghai 200092, China,School of Mechanical Engineering, Tongji University, Shanghai 200092, China and School of Mechanical Engineering, Tongji University, Shanghai 200092, China |
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| Abstract: | In this paper, finite element analysis for a class of neutral delay parabolic equation is considered. Based on a linear finite element space, one semi discrete and two full discrete finite element schemes are constructed for the neutral delay parabolic equation. Then, the L2 norm error estimates of the semi discrete and two full discrete schemes are obtained by the projection operator. Numerical experiments proves the validity of the theoretical analysis. |
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| Keywords: | neutral delay parabolic equation finite element scheme error estimate |
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