| 抛物型积分微分方程的一个新低阶混合元格式 |
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| 引用本文： | 吴志勤,石东洋. 抛物型积分微分方程的一个新低阶混合元格式[J]. 安徽大学学报(自然科学版), 2012, 0(6): 1-4 |
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| 作者姓名： | 吴志勤 石东洋 |
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| 作者单位： | 许昌学院数学与统计学院;郑州大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目(10671184,10971203);高等学校博士学科点专项基金资助项目(20094101110006);国家自然科学基金数学天元基金资助项目(11026154) |
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| 摘 要： | 对一类抛物积分微分方程构造一个新的低阶三角形非协调混合元格式,并直接利用单元插值的性质及导数转移技巧,得到相应的收敛性分析和H1-模及L2-模最优误差估计.
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| 关 键 词： | 抛物型积分微分方程 三角形非协调元 新混合元格式 最优误差估计 |
A new low order nonconforming mixed finite element formulation for integro-differential equations of parabolic type |
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| WU Zhi-qin,SHI Dong-yang. A new low order nonconforming mixed finite element formulation for integro-differential equations of parabolic type[J]. Journal of Anhui University(Natural Sciences), 2012, 0(6): 1-4 |
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| Authors: | WU Zhi-qin SHI Dong-yang |
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| Affiliation: | 1.School of Mathematics and Statistics,Xuchang University,Xuchang 461000,China; 2.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China) |
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| Abstract: | In this paper,a new low order triangular nonconforming mixed finite element formulation was proposed for the integro-differential equations of parabolic type.By utilizing the properties of the interpolation on the element and derivative delivery techniques,the corresponding convergence analysis was presented,and the optimal error estimates in H1-norm and in L2-norm were obtained. |
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| Keywords: | parabolic integro-differential equations triangular nonconforming finite element new mixed finite element formulation optimal error estimate |
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