| Sobolev-Volterra投影与积分微分方程有限元数值分析 |
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| 引用本文： | 崔霞. Sobolev-Volterra投影与积分微分方程有限元数值分析[J]. 应用数学学报, 2001, 24(3): 441-455 |
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| 作者姓名： | 崔霞 |
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| 作者单位： | 北京应用物理与计算数学研究所计算物理实验室,北京100088 |
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| 基金项目： | 国家教委博士点基金资助项目. |
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| 摘 要： | 本文提出一类称之为Sobolev-Volterra投影的有限元投影,研究了有关性质并将之应用于伪抛物型积分微分方程有限元方法、伪双曲型积分微分方程有限元方法以及三维伪双曲型积分微分方程交替方向有限元方法的数值分析.
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| 关 键 词： | Sobolev-Volterra投影 积分微分方程 有限元 数值分析 |
| 修稿时间： | 1999-08-23 |
Sobolev-Volterra Projection and Numerical Analysis of Finite Element Methods for Integro-differential Equations |
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| CUI XIA. Sobolev-Volterra Projection and Numerical Analysis of Finite Element Methods for Integro-differential Equations[J]. Acta Mathematicae Applicatae Sinica, 2001, 24(3): 441-455 |
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| Authors: | CUI XIA |
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| Abstract: | A new finite element projection (so-called Sobolev-Volterra projection) is in troduced, and its properties are studied. Moreover, its applications to the analysis of finite elememt methods for pseudo-parabolic integro-differential equation and for pseudo- hyperbolic integro-differential equation, and of alternating direction finite element method for 3-dimensional pseudo-hyperbolic integro-differential equation are investigated. |
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| Keywords: | Sobolev-Volterra projection integro-differential equation finite element numerical analysis |
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