| 高次Wilson元的收敛性分析 |
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| 引用本文： | 石东洋,郝晓斌,石东伟. 高次Wilson元的收敛性分析[J]. 河南大学学报(自然科学版), 2011, 0(5) |
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| 作者姓名： | 石东洋 郝晓斌 石东伟 |
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| 作者单位： | 郑州大学数学系;河南工程学院数理科学系;河南科技学院数学系; |
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| 基金项目： | 国家自然科学基金资助项目(10971203); 教育部高等学校博士学科点专项科研基金(20094101110006); 河南工程学院博士基金项目(D09008) |
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| 摘 要： | 给出了Poisson方程的非协调高次Wilson有限元方法的收敛性分析,并得到最优误差估计,同时通过数值算例验证了理论分析的正确性.
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| 关 键 词： | 高次非协调Wilson元 收敛性分析 误差估计 |
Analysis of Convergence of Higher Order Wilson Element |
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| SHI Dong-yang,HAO Xiao-bin,SHI Dong-wei. Analysis of Convergence of Higher Order Wilson Element[J]. Journal of Henan University(Natural Science), 2011, 0(5) |
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| Authors: | SHI Dong-yang HAO Xiao-bin SHI Dong-wei |
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| Affiliation: | SHI Dong-yang1,HAO Xiao-bin2,SHI Dong-wei3(1.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China,2.Department of Mathematical and Physical Sciences,Henan Engineering Institute,Zhengzhou 451191,3.Department of Mathematics,Henan Institute of Science and Technology,Xinxiang 453003,China) |
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| Abstract: | This paper presents an analysis of the convergence of the nonconforming higher order Wilson finite element method for Poisson problem,and obtains the optimal order error estimates.At the same time,numerical results are also given to verify our theoretical analysis and to show the good performance of the element. |
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| Keywords: | higher order nonconforming Wilson element convergence analysis error estimate |
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