| 带弱奇异核的抛物型积分微分方程的非协调有限元方法 |
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| 引用本文： | 石东洋,郭城,王海红. 带弱奇异核的抛物型积分微分方程的非协调有限元方法[J]. 数学物理学报(A辑), 2010, 30(3): 764-775 |
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| 作者姓名： | 石东洋 郭城 王海红 |
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| 作者单位： | 石东洋(郑州大学数学系,郑州,450052);郭城(郑州师范高等专科学校数学系,郑州,450044);王海红(河南财经学院数学与信息科学系,郑州,450002) |
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| 摘 要： | 研究了带弱奇异核的抛物型积分微分方程的非协调有限元方法,在不需要Ritz-Volterra投影的情况下,在半离散和全离散的格式下分别得到了与协调有限元方法相同的误差估计.
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| 关 键 词： | 抛物型积分微分方程 弱奇异核 非协调元 误差估计 |
| 收稿时间： | 2008-03-27 |
| 修稿时间： | 2009-10-21 |
Nonconforming Finite Element Method for Integro-Differential Equation of Parabolic Type with Weakly Singular Kernel |
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| SHI Dong-Yang,GUO Cheng,WANG Hai-Hong. Nonconforming Finite Element Method for Integro-Differential Equation of Parabolic Type with Weakly Singular Kernel[J]. Acta Mathematica Scientia, 2010, 30(3): 764-775 |
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| Authors: | SHI Dong-Yang GUO Cheng WANG Hai-Hong |
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| Affiliation: | 1. Department of Mathematics, Zhengzhou University, Zhengzhou 450052|2. Department of Mathematics, Zhengzhou Teachers College, Zhengzhou 450044|3. Department of Mathematical and Information Scientific, Henan University of Finance and Economics, Zhengzhou 450002 |
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| Abstract: | The nonconforming finite element methods for integro-differential equation with a weakly singular kernel are studied. The same optimal error estimates as the traditional methods both in semi-discrete scheme and full discretization are obtained without using Ritz-Volterra projection. |
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| Keywords: | Parabolic integro-differential equationzz Weakly singular kernelzz Nonconformingzz Error estimateszz |
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