| 多维半线性双曲型积分微分方程的修正H1-Galerkin混合有限元方法 |
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| 引用本文： | 曹京平,李琳琳.多维半线性双曲型积分微分方程的修正H1-Galerkin混合有限元方法[J].中央民族大学学报(自然科学版),2011(4). |
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| 作者姓名： | 曹京平 李琳琳 |
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| 作者单位： | 内蒙古财经学院统计与数学学院,内蒙古呼和浩特,010070 |
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| 基金项目： | 内蒙古教育厅自然科学基金资助项目(No.NJZY11105) |
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| 摘 要： | 利用修正的H1-Galerkin混合有限元方法研究了多维半线性双曲型积分微分方程，得到了半离散解及全离散解的最优收敛阶误差估计，该方法的优点是不需验证LBB相容性条件．
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| 关 键 词： | 双曲型积分微分方程 半线性 修正H1-Galerkin混合有限元方法 最优阶误差估计 |
A Modified H~1-Galerkin Mixed Finite Element Methods for Semilinear Hyperbolic Type Integro-Differential Equation in Two or Three Space Dimensions |
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| CAO Jing-ping,LI Lin-lin.A Modified H~1-Galerkin Mixed Finite Element Methods for Semilinear Hyperbolic Type Integro-Differential Equation in Two or Three Space Dimensions[J].Journal of The Central University for Nationalities(Natural Sciences Edition),2011(4). |
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| Authors: | CAO Jing-ping LI Lin-lin |
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| Institution: | CAO Jing-ping,LI Lin-lin(School of Statistics and Mathematics,Inner Mongolia Finance and Economics College,Hohhot 010070,China) |
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| Abstract: | Semilinear hyperbolic partial integro-differential equations are studied by modified H1-Galerkin mixed finite element methods.Optimal order error estimates are obtained for both semidiscrete and fully discrete solutions.The main feature of this method is that the approximations have the same rate convergence as in the classical mixed finite element methods without the LBB consistency conditions. |
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| Keywords: | hyperbolic partial integro-differential equations semilinear modified H1-galerkin mixed finite element methods optimal order error estimate |
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