| 二维双曲型方程动边界问题有限元逼近格式和数值分析 |
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| 引用本文： | 崔霞.二维双曲型方程动边界问题有限元逼近格式和数值分析[J].高等学校计算数学学报,1997,19(1):13-27. |
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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!济南25010 |
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| 基金项目： | 国家教委博士点基金资助课题 |
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| 摘 要： | 1 引言 物理实际中,许多振动的传播过程,如弦振动、弹性杆纵向振动过程中的位移,理想高频传输线上的电压和电流,声波传播中的声压速度势以及电磁波等,都满足双曲型方程。关于
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| 关 键 词： | 双曲型方程 动边界问题 有限元逼近格式 收敛性 |
THE FINITE ELEMENT APPROXIMATIONS AND THE ANALYSIS FOR THE TWO-DIMENSIONAL HYPERBOLIC EQUATION IN A TIME-DEPENDENT DOMAIN |
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| Cui Xia.THE FINITE ELEMENT APPROXIMATIONS AND THE ANALYSIS FOR THE TWO-DIMENSIONAL HYPERBOLIC EQUATION IN A TIME-DEPENDENT DOMAIN[J].Numerical Mathematics A Journal of Chinese Universities,1997,19(1):13-27. |
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| Authors: | Cui Xia |
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| Institution: | Shandong University |
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| Abstract: | The initial-boundary value problem for hyperbolic equation in two-dimensional domain with moving boundary is studied. The semi-discrete and full discrete finite element approximations are suggested, and the stability of the latter is proved. By the use of the priori error estimate technique for differential equation such as changing space variable and introducing elliptic projection, the optimal L2-norm and H1-norm convergence results are obtained. |
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| Keywords: | Hyperbolic eqation moving boundary finite element error estimates |
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