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| 非线性抛物型方程的变网格非协调有限元分析 | |
| 引用本文： | 于志云,石东伟,石东洋. 非线性抛物型方程的变网格非协调有限元分析[J]. 河南师范大学学报(自然科学版), 2012, 40(4): 1-4,8 |
| 作者姓名： | 于志云 石东伟 石东洋 |
| 作者单位： | 1. 郑州大学数学系,郑州450001;中原工学院理学院,郑州450007 2. 河南科技学院数学系,河南新乡,453003 3. 郑州大学数学系,郑州,450001 |
| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金，青年基金，河南省基础与前沿技术研究计划项目 |
| 摘 要： | 采用非协调EQr1ot元对一类非线性抛物型方程进行了变网格有限元分析,利用该单元的相容误差比插值误差高一阶的特殊性质,得到了最优L2-模和最优能量模的误差估计. |
| 关 键 词： | 非线性抛物型方程 非协调元 变网格 最优误差估计 |
Nonconforming Finite Element Analysis with Moving Grids for Nonlinear Parabolic Equations |
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| YU Zhi-yun , SHI Dong-wei , SHI Dong-yang. Nonconforming Finite Element Analysis with Moving Grids for Nonlinear Parabolic Equations[J]. Journal of Henan Normal University(Natural Science), 2012, 40(4): 1-4,8 | |
| Authors: | YU Zhi-yun SHI Dong-wei SHI Dong-yang |
| Affiliation: | 1 (1.Department of Mathmatics,Zhengzhou University,Zhengzhou 450001,China;2.College of Science,Zhongyuan University of Technology,Zhengzhou 450007,China;3.Department of Mathematics,Henan Institute of Science and Technology,Xinxiang 453003,China) |
| Abstract: | In this paper,the nonconforming EQrot1 element is used to approximate nonlinear parabolic equations and the finite element analysis is presented with moving grids.By using of the special property of the element,i.e.,its consistency error is one order higher than the interpolation error.The optimal order error estimates under L2-norm and broken H1-norm are derived. |
| Keywords: | nonlinear parabolic equations nonconforming elements moving grids optimal error estimates |
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