| 二阶椭圆问题混合有限元方法的最大模估计 |
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| 引用本文： | 姜子文,陈焕祯. 二阶椭圆问题混合有限元方法的最大模估计[J]. 山东师范大学学报(自然科学版), 2000, 15(1): 1-6 |
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| 作者姓名： | 姜子文 陈焕祯 |
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| 作者单位： | 山东师范大学数学系,250014,济南 |
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| 摘 要： | 利用正规格林函数及对偶论证技术，证明了非线性二阶椭圆问题的混合有限元方法对函数的Ｌ＾２投影有几乎超收敛一阶的最大模误差估计，对函数有最优阶的最大模误差估计，对伴随向量函数及其散度有拟最优的最大模误差估计。
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| 关 键 词： | 非线性椭圆问题 混合有限元 最大模 误差估计 |
| 修稿时间： | 1999-06-01 |
ESTIMATES OF MAXIMUM NORM ERROR BY MIXED METHODS FOR SECOND ORDER ELLIPTIC PROBLEMS |
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| Jiang Ziwen,Chen Huanzhen. ESTIMATES OF MAXIMUM NORM ERROR BY MIXED METHODS FOR SECOND ORDER ELLIPTIC PROBLEMS[J]. Journal of Shandong Normal University(Natural Science), 2000, 15(1): 1-6 |
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| Authors: | Jiang Ziwen Chen Huanzhen |
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| Affiliation: | Jiang Ziwen ,Chen Huanzhen ;(Department of Mathematic.Shandong Normal University,250014,Jinan,P R C) |
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| Abstract: | Using the regularized Green's functions and a duality argument,we prove that the mixed finite element method proposed in this paper for nonlinear second order elliptic problems possesses the almost superconvergence by one order maximum norm error estimates for the L 2 projection of the function ,optimal maxium norm error estimates for the function,and quansi optimal maximum norm error estimates for the associated vector function and its divergence. |
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| Keywords: | nonlinear elliptic problems mixed finite element methods maximum norm error estimates |
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