| 非线性抛物积分微分方程的变网格有限元方法 |
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| 引用本文： | 孙澎涛.非线性抛物积分微分方程的变网格有限元方法[J].山东大学学报(理学版),1995(2). |
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| 作者姓名： | 孙澎涛 |
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| 作者单位： | Dept. of Math.，Shandong Univ.，Jinan |
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| 摘 要： | 研究了一类非线性抛物积分微分方程在Ｄｉｒｉｃｈｌｅｔ边值和非线性边值情形下的变网格全离散有限元方法及其误差估计．提出了一种对任意变动网格的计算格式，并证明了该格式在某种意义下具有最佳的误差阶估计．
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| 关 键 词： | 变网格方法 有限元方法 积分微分方程 |
THE FINITE ELEMENT METHOD WITH MOVING GRID FOR THE NONLINEAR PARABOLIC INTEGRODIFFERENTIAL EQUATION |
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| Sun Pengtao.THE FINITE ELEMENT METHOD WITH MOVING GRID FOR THE NONLINEAR PARABOLIC INTEGRODIFFERENTIAL EQUATION[J].Journal of Shandong University,1995(2). |
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| Authors: | Sun Pengtao |
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| Abstract: | The F. E. M. with moving grid is studied for the nonlinear parabolic integrodifferential equations with Dirichlet boundary and nonlinear boundary conditions,and the optimal error estimates in some kinds of senses are obtained. |
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| Keywords: | moving grid finite-element methods integro-differential equation integrodifferential equations |
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