| 一维双曲型方程动边界问题的全离散有限元格式和数值分析 |
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| 引用本文： | 崔霞. 一维双曲型方程动边界问题的全离散有限元格式和数值分析[J]. 山东大学学报(理学版), 1996, 0(4) |
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| 作者姓名： | 崔霞 |
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| 作者单位： | 山东大学数学系 |
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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： | 研究了具有变动边界的一维区域上的双曲型方程的初边值问题;提出一类全离散有限元逼近格式,并证明了格式的稳定性。应用空间变量代换、引入椭圆投影及其他微分方程先验估计技巧,得到了最优阶的L~2模及H~1模收敛结果。
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| 关 键 词： | 双曲型方程 动边界 全离散有限元 误差估计 |
THE TIME DISCRETE FINITE ELEMENT APPROXIMATION AND ITS ANALYSIS FORTHE ONE-DIMENTIONAL HYPEBOLIC EQUATION IN A TIME-DEPENDENT DOMAIN |
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| Cui Xia. THE TIME DISCRETE FINITE ELEMENT APPROXIMATION AND ITS ANALYSIS FORTHE ONE-DIMENTIONAL HYPEBOLIC EQUATION IN A TIME-DEPENDENT DOMAIN[J]. Journal of Shandong University, 1996, 0(4) |
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| Authors: | Cui Xia |
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| Abstract: | The initial-boundary value problem for hyperbolic equation in one-dimensional domain with moving boundary is studied. The discrete time finite element approximation is suggested, and its stability is proved. By changing space variable, introducing elliptic projection and using other priori estimate technique for differential equation , the optimal L2-norm and H1-norm convergence results are obtained. |
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| Keywords: | hyperbolic equation moving boundary discrete time finite element error estimate |
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