| 双曲型积分微分方程的最小二乘混合有限元方法 |
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| 引用本文： | 任慧玲,李宏.双曲型积分微分方程的最小二乘混合有限元方法[J].内蒙古大学学报(自然科学版),2010,41(2). |
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| 作者姓名： | 任慧玲 李宏 |
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| 作者单位： | 内蒙古大学数学科学学院,呼和浩特,010021 |
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| 基金项目： | 国家自然科学基金资助项目(10601022);;内蒙古自然科学基金资助项目(200607010106);;内蒙古大学513基金资助项目 |
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| 摘 要： | 给出了双曲型积分微分方程的最小二乘混合有限元方法,利用该方法将方程降阶,并对方程进行离散,构造了最小二乘混合有限元格式.最小二乘混合元方法可以避免标准混合元格式中的LBB限制条件,从而可以更灵活地选择有限元空间.误差估计表明在H×H1范数意义下这种方法具有最优收敛阶.
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| 关 键 词： | 最小二乘混合元法 双曲型积分微分方程 误差估计 |
Least-squares Mixed Finite Element Method for Hyperbolic Integro-differential Equations |
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| REN Hui-ling,LI Hong.Least-squares Mixed Finite Element Method for Hyperbolic Integro-differential Equations[J].Acta Scientiarum Naturalium Universitatis Neimongol,2010,41(2). |
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| Authors: | REN Hui-ling LI Hong |
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| Institution: | School of Mathematical Sciences/a>;Inner Mongolia University/a>;Hohhot 010021/a>;China |
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| Abstract: | The least-squares mixed finite element method is used to solve hyperbolic integro-differential equations and a least-squares mixed finite element scheme is constructed by lowering the order of the equations and discretizing the lowered equations. The advantage of this method is that it is not subject to LBB condition,so the finite element spaces can be selected more flexibly.The convergence analysis shows that the method yields the approximate solutions with accuracy optimal in H×H~1. |
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| Keywords: | least-squares mixed finite element method Hyperbolic integro-differential equations error estimate |
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